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Assume a, b and c are integers.

The formula of the LCM of three numbers is:

p1max(a,b,c)p2max(a,b,c)......prmax(a,b,c), where each pi to the max() tells you the maximum exponent of the prime of one of the terms. For instance:

Find the LCM of 2, 3 and 4.

2 = 2

3 = 3

4 = 2²

Then, the prime 2 with the max exponent is 2, so select 2².

The prime 3 with the max exponent is 1, so select 3.

Multiply these values altogether to obtain 2² x 3 = 12.

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12y ago

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