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What is the least common multiple of 10 18 21 by using by using prime factors?
Lashondra20
The Least Common Multiple of 10, 18, 21 is 630.
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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).
Least common multiple of 8 and 18?
To find the least common multiple of two numbers, the first step is to break them down into their prime factors. In this case: 8 = 2x2x2 18 = 2x3x3 The second step is to identify common prime factors. In this case both numbers have a 2 as a prime factor, so we can discard on of these. Take all the other prime factors (2, 2, 2, 3 and 3) and multiply them together for the lcm: 2x2x2x3x3 = 72. Thus the least common multiple of 8 and 18 is 72.
What are the two numbers if they are relatively prime and their sum is 20 and their least common multiple is 99?
If the two numbers are relatively prime, their least common multiple is their product. The prime factors of 99 are 3, 3, and 11. Since the two numbers are relatively prime, the possibilities are 9 and 11 or 1 and 99. The pair of 9 and 11 add up to 20 and their least common multiple is 99. So, 9 and 11 are the two numbers.
What is the least common multiple of 10 16 and 24?
One way to solve this is to find the least common multiple of two of the numbers, and then find the least common multiple of that result with the third number. The least common multiple of two numbers is their product divided by their greatest common factor.The greatest common factor of 10 and 16 is 2, so the least common multiple is 10 x 16 ÷ 2 = 80.The greatest common factor of 80 and 24 is 8, so the least common multiple is 80 x 24 ÷ 8 = 240.The least common multiple of 10, 16, and 24 is 240.Another way to solve this is to find the prime factors of each number, then choose the highest power of each factor and multiply them together.The prime factors of 10 are 2 and 5.The prime factors of 16 are 2, 2, 2, and 2, which is 24.The prime factors of 24 are 2, 2, 2, and 3, which is 23 and 3.The highest power of 2 is 24, the highest power of 3 is 3, and the highest power of 5 is 5. So, the least common multiple is 24 x 3 x 5 = 16 x 3 x 5 = 240.
What is the least common multiple of 75 and 105 using prime factorization?
The Least Common Multiple of 75, 105 is 525.
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 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.
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 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 find the least common multiple of 3 numbers?
By finding their prime factors
What is the least common multiple of 3 and 25?
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
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).
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
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 LCM of 28 and 21?
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 (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 21 are 3 and 7. The prime factors of 28 are 2, 2, and 7. The prime factors in common are a single 7. Therefore, the lowest common multiple is 21 x 28 ÷ 7 = 84
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 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.
