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Find the sum of all the common factors of 16 and 40.Multiply the result by the first common multiple of 3 and 6.What is the answer?
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How do you get a common multiple?
The easiest way is to multiply the numbers together. The answer won't necessarily be the least common multiple, but it will be a common multiple. The easiest way to get a common multiple is to multiply the numbers together. The result will not necessarily be the least common multiple, but it will be a common multiple.
What is the LCM of 96 and 36?
The acronym LCM means least common multiple - or lowest common multipleThis is the smallest number which is a product of the numbers given.To calculate it, we need to get the factors of all the given numbers.the factors of 96 are 2, 2, 2, 2, 2 and 3the factors of 36 are 2, 2, 3 and 3Any factors which occur in both numbers need only be used once. All the factors of 36 are in the factors of 96 with the exception of the second 3.So, if we multiple 2, 2, 2, 2, 2, 3 and 3 we will get the lowest common multiple - and the result is 288288 / 36 = 8288 / 96 = 3As 8 and 3 have no common factors we can see that there is no lower number which could be a common multiple of 36 and 96288
Do you have to change the denominators when multiplying fractions?
No. To multiple fractions multiple the numerators together and multiply the denominators together and simplify (by dividing both numerator and denominator of the result by common factors until the only common factor is 1). The denominators only need to be the same when adding or subtracting fractions.
What is the least common Multiple of 5 9 7 and 2?
630 is the result of 5*9*7*2 and is also the least common multiple.
What is the least common multiple of 10 14 and 55?
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 14 is 2, so the least common multiple is 10 x 14 ÷ 2 = 70.The greatest common factor of 70 and 55 is 5, so the least common multiple is 70 x 55 ÷ 5 = 770.The least common multiple of 10, 14, and 55 is 770.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 14 are 2 and 7.The prime factors of 55 are 5 and 11.Among the prime factors of the three numbers, the highest power of 2 is 2, the highest power of 5 is 5, the highest power of 7 is 7, and the highest power of 11 is 11. So, the least common multiple of 10, 14, and 55 is 2 x 5 x 7 x 11 = 770.
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.
How we will get common factor of any number?
Common factors result from comparing the lists of factors of at least two integers and selecting the ones that are on both lists.
What is the least common multiple of 4 8 10 and 20?
To get a start on this we need the prime factors of each number, and we add to the list as we move along through them. The prime factors of 4 are 2 and 2.... so the result must have two 2s in it. The prime factors of 8 are 2, 2 and 2... as the result already has two 2s, we need to add another. Now we know that the result must have three 2s in it. The prime factors of 10 are 2 and 5.... there is already a 2 in the result so we must add one 5 to it. Now we know that the result must have three 2s and one 5. The prime factors of 20 are 2, 2 and 5.... but we already have all those in the result. Now we know that if we multiply three 2s and one 5 together the product will be the lowest number that will be a multiple of all our four given numbers. 2 x 2 x 2 x 5 = 40. To prove that that is the Lowest Common Multiple, if we divide by each of our given numbers then the result of one of the divisions must be a prime number. 40 / 4 = 10 40 / 8 = 5 .... as 5 is a prime number there is no lower number which 8 will divide evenly into and which will be a multiple of the other numbers.
The product of two or more nonzero whole number would it be a multiple or would it be a least common multiples?
It would be a multiple. The word "LEAST" (in Least Common Multiple) is a superlative adjective and that means there can be only one. The result would be a least common multiple only if every pair of the numbers were coprime.
Why do you multiply the prime numbers together to find the LCM?
You multiply numbers because you're trying to find a multiple. You multiply prime numbers because you're trying to find the smallest common number. You could multiply common composite factors, but the result wouldn't necessarily be least.
What do you do to find the LCM when there is no multiple the same?
For any non-zero whole numbers, there are ALWAYS multiples that are the same. That's the whole point in finding the least common multiple! For example, simply by multiplying the two numbers, you get a common multiple. However, there is no guarantee that it will be the LEAST common multiple. On the other hand, writing down lots of multiples and looking for common multiples is not very efficient, except perhaps for very low numbers. A better method is to factor each of the numbers into prime factors, then use any prime factor that appears in one or more of the numbers for your result. Use the highest power. For example, if one number has a factor of 2 to the power 3, and the other has 2 to the power 2, use 2 to the power 3. Multiplying all those prime factors together gives you the least common multiple.
What is the result if you multiply the greatest common factor by the least common multiple?
Multiplying the hcf by the lcm of two numbers gives the product of the two numbers
