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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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What if the LCM of 3 7 10?
It is: 210
