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The least common multiple (LCM) of 2, 8, and 12 is 24. To find the LCM, prime factorize each number.
2=2
8=2*2*2
12=2*2*3
Multiply each factor the greatest number of times it occurs in any of the numbers. 8 has the most twos, so take three 2s. 12 has one 3.
2*2*2*3=24
So 24 is the lowest common multiple of 2, 8, and 12.
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