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    The LCM of 75, 45, 180 and 110 is:
    Question

    The LCM of 75, 45, 180 and 110 is:

    A.

    9817

    B.

    9856

    C.

    9946

    D.

    9900

    Correct option is D

    Given:
    The numbers are 75, 45, 180, and 110.
    Formula Used:
    The Least Common Multiple (LCM) can be found using prime factorization:
    Solution:
    Prime factorization of 75 = 3 × 5²
    Prime factorization of 45= 3² × 5
    Prime factorization of 180 = 2² × 3² × 5
    Prime factorization of 110 = 2 × 5 × 11
    LCM = 2² × 3² × 5² × 11 = 9900
    Thus, the LCM of 75, 45, 180, and 110 is 9900.

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