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The Least Common Multiple of 10, 18, 21 is 630.

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Q: What is the least common multiple of 10 18 21 by using by using prime factors?
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What is the least common multiple of 14 and 42?

The LCM of 14 and 42 is 42. The simplest method to determine the least common multiple in this case is to notice that 42 is a multiple of 14. Since 42 is a multiple of 14, the least common multiple is 42. To determine the least common multiple of two numbers, you can also determine the prime factors of both numbers. Then, determine the prime factors they have in common. Multiply all their prime factors together (in other words, multiply both numbers together) and divide by the prime factors they have in common (in other words, their greatest common factor). The prime factors of 14 are 2 and 7. The prime factors of 42 are 2, 3, and 7. The greatest common factor of 14 and 42 is 14. So, the least common multiple of 14 and 42 is (2x7) x (2x3x7) ÷ 14 = 42.


How do you figure out the least common multiple of 51and34?

Prime factors of 51 are 3 and 17 Prime factors of 34 are 2 and 17 Least common multiple is 2*3*17 = 102


What is the least common multiple of 8 and 13?

13 is a prime number. It and 8 have no factors in common. Therefore, the least common multiple is 8 x 13 = 104.


What is the least common multiple of 24 and 32?

The LCM of 24 and 32 is 96. To determine the least common multiple of two numbers, determine the prime factors of both numbers. Then, determine the prime factors they have in common. Multiply all their prime factors together (in other words, multiply both numbers together) and divide by the prime factors they have in common (in other words, their greatest common factor). The prime factors of 24 are 2, 2, 2, and 3. The prime factors of 32 are 2, 2, 2, 2, and 2. The prime factors in common are 2, 2, and 2, so the greatest common factor is 2 x 2 x 2 = 8. The least common multiple or least common denominator is 24 x 32 ÷ 8 = 96.


What is least common multiple of 14 and 40?

To determine the least common multiple of two numbers, determine the prime factors of both number. Then, determine the prime factors they have in common. Multiply all their prime factors together and then divide by the prime factors they have in common. The prime factors of 14 are 2 and 7. The prime factors of 40 are 2, 2, 2, and 5. The common prime factors are a single 2. Therefore, the least common multiple is 2 x 7 x 2 x 2 x 2 x 5 ÷ 2 = 7 x 2 x 2 x 2 x 5 = 280.


How can you find the least common multiple of 3 numbers?

By finding their prime factors


What is the least common multiple of 6 and 35?

The least common multiple of 6 and 35 is 210. Because 6 and 35 are co-prime (that is, they have no common factors), their LCM is their product.


When can you multiply two numbers together to get the least common multiple?

When they have no common prime factors.


What is the least common multiple of 25 and 3?

Least common, most likely you mean lowest common multiple? If it is lowest common multiple (LCM) then it is 75. This can be worked out from the prime factors excluding duplicates where the prime factors are the same. I.E. 3*5*5 = 75 In this case there are no common prime factors so you could just as easily do 3*25 Hope this helps


Why is 198 the least common multiple of 99 and 18?

Prime factors of 99 in exponents: 32 and 11 Prime factors of 18 in exponents: 2 and 32 Mutiply all the highest prime factors: 2*32*11 = 198 which is the least common multiple of 99 and 18


How do you find the least common multiple of 12 15 and 22?

Prime factors of 12 are 22 and 3 Prime factors of 15 are 3 and 5 Prime factors of 22 are 2 and 11 Least common multiple = 22*3*5*11 = 660


What is the least common multiple of 12 and 17?

The LCM of 12 and 17 is their product, 204. Since they are relatively prime, that is to say they have no factors in common, the least common multiple is 12x17. We know there are no factors in common because 17 is a prime.


What is the least common multiple of 38 and 95?

The least common multiple of two numbers is the product of the two numbers divided by their greatest common factor. The greatest common factor of 38 and 95 is 19. (See related question "What is the greatest common factor of 38 and 95?" for this calculation.) So, the least common multiple is 38 x 95 ÷ 19 = 190. Alternately, to determine the least common multiple, determine their prime factors. The prime factors of 38 are 2 and 19. The prime factors of 95 are 5 and 19. Then, determine the common prime factors and the ones that are not shared. The common prime factors are a single 19. The remaining factor of 38 is 2. The remaining factor of 95 is 5. Multiply these together to obtain the least common multiple. 19 x 2 x 5 = 190


What is the least common multiple of 65 and 92?

To find the least common multiple of two numbers you first need to split them into their prime factors: 65 = 5x13 92 = 2x2x23 The next step would be to identify any common prime factors, but in this case there are none, so we simply take all the prime factors and multiply them together: 5x13x2x2x23 = 5,980 Thus the least common multiple of 65 and 92 is 5,980.


What is the least common multiple of 9 and 12?

The LCM of 9 and 12 is: 36To determine the least common multiple of two numbers, determine the prime factors of both numbers. Then, determine the prime factors they have in common. Multiply all their prime factors together (in other words, multiply both numbers together) and divide by the prime factors they have in common (in other words, their greatest common factor).The prime factors of 9 are 3 and 3.The prime factors of 12 are 2, 2, and 3.The prime factors in common are a single 3, the greatest common factor is 3.36: 4 x 9, 3 x 12.The least common multiple of 12 , 9 = 36.3636


How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the numbers?

If the prime factorizations have no factors in common, the LCM is the product of them.


What is the least common multiple for 686 and 365?

The least common multiple (lcm) of two or more numbers is the product of all prime factors of the numbers to their highest powers.The prime factors of 686 are 2 and 73The prime factors of 365 are 5 and 73.The least common multiple of 686 and 365 is 250390 (2 x 5 x 73 x 73).


What is the least common multiple of 8 and 16?

The least common multiple of 16 and 8 is 16. Because 16 is a multiple of 8, it is automatically the LCM of the pair. Another approach: To find the least common multiple, factor each number to its prime factors and then multiply all the factors from the first number with any factors in the second number that are not repeated from the first number. The prime factors of 8 are 2 x 2 x 2. The prime factors of 16 are 2 x 2 x 2 x 2.


What is the least common multiple of 2 3 5 and 9?

To determine the least common multiple of more than two numbers, determine the prime factors of all numbers. Then, determine the prime factors they have in common with at least one of the other numbers and the ones that are not in common. The prime factor of 2 is 2. The prime factor of 3 is 3. The prime factor of 5 is 5. The prime factors of 9 are 3 and 3. The prime factor 3 is a factor in common in one pair. Multiply all the factors together and divide by any that were in common with the other numbers. Therefore, the least common multiple is 2 x 3 x 5 x 9 ÷ 3 = 90


How to find LCM?

Least Common Multiple of Two NumbersThe "least common multiple" is the smallest integer that contains both numbers as factors. It is the product of the two numbers divided by any common factors.To determine the least common multiple of two numbers, determine the prime factors of both numbers. Then, determine the prime factors they have in common. Multiply the numbers together, and divide by the prime factors they have in common (the product of these is their "greatest common factor").Example: Find the least common multiple of 12 and 15.The prime factors of 12 are 2 , 2, and 3 (12 = 2 x 2 x 3)The prime factors of 15 are 3 and 5 (15 = 3 x 5)The only prime factor in common is 3.The least common multiple is (12 x 15) divided by 3. This is 180 / 3 = 60The least common multiple is 60.Example: Find the least common multiple of 9 and 11.The prime factors of 9 are 3 and 3.The prime factors of 11 are only 11.There are no prime factors in common.The least common multiple is 9 x 11 = 99.Example: Find the least common multiple of 30 and 42.The prime factors of 30 are 2, 3, and 5.The prime factors of 42 are 2, 3, and 7.The prime factors in common are 2 and 3.The least common multiple is (2 x 3 x 5) x (2 x 3 x 7) / (2 x 3) = 210. By representing it as a calculation with prime factors, you can cancel out the divisors, so you have as your reduced calculation 5 x 2 x 3 x 7 rather than 30 x 42 ÷ 6.Least Common Multiple of Three or More NumbersFor one method, check the related question "How do you find the least common multiple of three numbers?" in the links below.If you are determining the least common multiple for three or more numbers, it is more complicated because you must divide by prime factors that all or even just a pair of the numbers have in common. This paragraph is not a thorough description of the process, but only intends to give an idea of using prime factors to determine the LCM of three or more numbers.Another method to find the least common multiple of more than two numbers is to take two numbers and determine their least common multiple. Then, take that number and one of the other numbers and determine their least common multiple. Continue calculating the least common multiple, two numbers at a time. If there are four or more numbers, you can find the least common multiple for each pair of numbers, and then the least common multiples of those results.Example: Find the least common multiple of 4, 7, and 9.The prime factors of 4 are 2 and 2.The prime factors of 7 are 7.There are no prime factors in common, so the least common multiple of 4 and 7 is 4 x 7 = 28. Now, find the least common multiple of 28 and 9.The prime factors of 28 are 2, 2, and 7.The prime factors of 9 are 3 and 3.There are no prime factors in common, so the least common multiple of 28 and 9 is 28 x 9 = 252.The least common multiple of 4, 7, and 9 is 252.Example: Find the least common multiple of 2, 3, 7, 8, and 10.Start with the first pair of numbers, 2 and 3.The prime factors of 2 are 2.The prime factors of 3 are 3There are no prime factors in common, so the least common multiple is 2 x 3 = 6.Take the next pair of numbers, 7 and 8.The prime factors of 7 are 7.The prime factors of 8 are 2, 2, and 2.There are no prime factors in common, so the least common multiple is 7 x 8 = 56.Now, find the least common multiple of both results, 6 and 56.The prime factors of 6 are 2 and 3.The prime factors of 56 are 2, 2, 2, and 7.The prime factors in common are a single 2, so the least common multiple is 6 x 56 ÷ 2 = 168.To finish, find the least common multiple of 168 and the final number, 10.The prime factors of 10 are 2 and 5.The prime factors of 168 are 2, 2, 2, 3, and 7.The prime factors in common are a single 2, so the least common multiple is 168 x 10 ÷ 2 = 840The least common multiple of 2, 3, 7, 8, and 10 is 840.Least Common Multiple - Exponential MethodThe LCM (least common multiple) is the smallest positive whole number exactly divisible by two or more given whole numbers. Example: the LCM of 14 and 35 is 70 because 70/14=5 and 70/35=2, and no number smaller than 70 is exactly divisible by 14 and 35.The LCM can also found be for more complex numbers by taking the multiple of the highest power of prime factors from both numbers.For example, the LCM of 72 and 90 is 360, which is the multiple of the highest power of prime factors from both numbers (23 x 33 x 5 = 2 x 2 x 2 x 3 x 3 x 5 = 360).Example: LCM 0f 9 and 25 is 225, which is the multiple of the highest power of prime factors in 9 and 25 (32 x 52).For more than two numbers, LCM can be found by taking the multiple of the highest power of prime factors from all numbers.For example, the LCM of 28, 70, and 98 is 4,900, which is the multiple of the highest power of prime factors from all three numbers (22 x 52 x 72 = 2 x 2 x 5 x 5 x 7 x 7 = 4900). (Factors: 28 = 22 x 7; 98 = 2 x 72; 350 = 2 x 52 x 7)Least Common Multiple of One NumberThere is no "least common multiple" for a single number, because the least common multiple is the smallest multiple that two or more numbers have in common.Start by taking the prime factorizations of the numbers. Now, for each unique prime, take the maximum number of times it shows up in your original numbers, and multiply these together.Example:LCM of 45, 50, and 16:45 = 3 * 3 * 550 = 2 * 5 * 516 = 2 * 2 * 2 * 22 shows up at most 4 times3 shows up at most 2 times5 shows up at most 2 timesso LCM is 2 * 2 * 2 * 2 * 3 * 3 * 5 * 5 = 3600


How can you determine from the prime factorizations whether the least common multiple of two numbers is the product of the numbers or is less that the product of the two numbers?

If there are no prime factors in common, the LCM will be the product. If there are prime factors in common, the LCM will be less than the product.


When will the Least Common Multiple LCM of two numbers be the product?

When the two numbers have no common factors. This is called relatively prime.


What is least common multiple of 11 and 12?

The least common multiple (LCM) of 11 and 12 is actually 11x12 = 132 This is because 11 is a prime number so has no common factors with 12


How is 252 the least common multiple of 18 and 28?

Prime factors of 18 are 2, 3 and 3 or as 2 and 32 Prime factors of 28 are 2, 2 and 7 or as 22 and 7 Least common multiple = 22*32*7 = 252


What is the least common multiple of 25 and 36?

The least common multiple of 25 and 36 is 900. To find the least common multiple you first need to break the numbers down into their prime factors: 25 = 5x5 36 = 2x2x3x3 The next step would be to identify any common factors. In this case there are none. Thus we just multiply all the prime factors together to find the LCM: 2x2x3x3x5x5 = 900 Thus the least common multiple of 25 and 36 is 900.