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find least common multiple of 6, 7, 8

prime factorization: (2^(3))(3)(7) = 168

I don't quite get how 3 was picked from 6.
I think 2^3 is from 8 and 7 is from 7 but 6 is 3 x 2 = 6

But why not choose 2 instead of 3?

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1 answer

  1. 6 = 2x3
    7 = 7
    8 = 2x2x2

    for the least common multiple each factor above must show up, so you need
    2x2x2x3x7

    (the 2 of the 2x3 was already taken care of in the 2x2x2, so we don't have to repeat it)

    2x2x2x3x7 = 168

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