32,44,22 find the LCM of the given numbers of prime factorization​

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32,44,22 find the LCM of the given numbers of prime factorization​

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Charlie 3 days 2021-09-13T20:46:33+00:00 1 Answer 0 views 0

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    2021-09-13T20:47:43+00:00

    Answer:

    352

    Step-by-step explanation:

    List all prime factors for each number.

    Prime Factorization of 22 is:

    2 x 11  =>  21 x 111

    Prime Factorization of 32 is:

    2 x 2 x 2 x 2 x 2  =>  25

    Prime Factorization of 44 is:

    2 x 2 x 11  =>  22 x 111

    For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

    The new superset list is

    2, 2, 2, 2, 2, 11

    Multiply these factors together to find the LCM.

    LCM = 2 x 2 x 2 x 2 x 2 x 11 = 352

    In exponential form:

    LCM = 25 x 111 = 352

    LCM = 352

    Therefore,

    LCM(22, 32, 44) = 352

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