Find the HCF of 44 and 444 by the prime factorization method hence, find their LCM

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Find the HCF of 44 and 444 by the prime factorization method hence, find their LCM

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Madelyn 1 month 2021-08-13T13:03:10+00:00 1 Answer 0 views 0

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    2021-08-13T13:04:20+00:00

    Answer:

    HCF = 4

    LCM = 4884

    PLEASE MARK ME AS THE BRAINLIEST ANSWER.

    Step-by-step explanation:

    HCF

    Answer:

    HCF = 4

    for the values 44, 444

    Solution by Factorization:

    The factors of 44 are: 1, 2, 4, 11, 22, 44

    The factors of 444 are: 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

    Then the greatest common factor is 4.

    LCM

    Answer:

    LCM = 4884

    Solution by Prime Factorization

    List all prime factors for each number.

    Prime Factorization of 44 is:

    2 x 2 x 11 => 2^2 x 11^1

    Prime Factorization of 444 is:

    2 x 2 x 3 x 37 => 2^2 x 3^1 x 37^1

    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, 3, 11, 37

    Multiply these factors together to find the LCM.

    LCM = 2 x 2 x 3 x 11 x 37 = 4884

    In exponential form:

    LCM = 2^2 x 3^1 x 11^1 x 37^1 = 4884

    LCM = 4884

    Therefore,

    LCM(44, 444) = 4884

    PLEASE MARK ME AS THE BRAINLIEST ANSWER.

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