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how to find a quick way to find common multiples of larger numbers

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1 Answer

Hi, Haster.

Multiplying numbers together gives you a common multiple. If you want to find the least common multiple, though, you can use the prime factorization method. For example, let's find the LCM of 200 and 315.

Write both numbers as the product of their prime factors:

200 = 23 x 52

315 = 32 x 5 x 7

The least common multiple is the product of the higher degree of each unique factor. In this example, all the factors are unique except the 5. We'll use 52 since it is the higher degree.

LCM = 23 x 32 x 52 x 7 = 12,600

Hope this helps!