What is the least common multiple of 40, 13, and 10?​

Question

What is the least common multiple of 40, 13, and 10?​

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Thạch Thảo 5 years 2021-08-10T23:23:40+00:00 2 Answers 17 views 0

Answers ( )

  1. taiduc
    0
    2021-08-10T23:24:59+00:00
    Reply

    List all prime factors for each number.

    Prime Factorization of 10 is:
    2 x 5 => 21 x 51

    Prime Factorization of 13 shows:
    13 is prime => 131

    Prime Factorization of 40 is:
    2 x 2 x 2 x 5 => 23 x 51

    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, 5, 13

    Multiply these factors together to find the LCM.

    LCM = 2 x 2 x 2 x 5 x 13 = 520

    In exponential form:
    LCM = 23 x 51 x 131 = 520

    LCM = 520

    Therefore,

    LCM(10, 13, 40) = 520

  2. diemthu
    0
    2021-08-10T23:25:37+00:00
    Reply

    Answer:

    520

    Step-by-step explanation:

    The least common multiple of 13, 10 and 40 is the smallest positive integer that divides the numbers 13, 10 and 40 without a remainder.

    That would 520 because it could be divided into 13, 10 and 40 without a remainder.

    520 divided by 10= 52

    520 divided by 13= 40

    520 divided by 40= 13

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