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210

You could list the multiples of each number until you reach 210, but that is time-consuming and unnecessary. You can determine the LCM by prime factorization.

Prime factorize each number.

7: 1 x 7

10: 2 x 5

3: 1 x 3

Multiply each prime factor the greatest number of times it occurs in any one factorization. Listing the factors from least to greatest: the most number of times 1 occurs is once, 2 occurs once, 3 occurs once, 5 occurs once, and 7 occurs once. Multiply the prime factors to get the LCM.

LCM = 2 x 3 x 5 x 7 = 210

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210

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Q: What is the LCM on 7 10 and 3?
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