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    The LCM of 46, 68, 136 and 138 is:
    Question

    The LCM of 46, 68, 136 and 138 is:

    A.

    9329

    B.

    9455

    C.

    9384

    D.

    9406

    Correct option is C

    Formula Used:
    LCM (Least Common Multiple) is the smallest number divisible by all given values.
    Prime factorization method is used to determine LCM.
    Solution:
    Prime factorization of 46 = 2 × 23
    Prime factorization of 68 = 22 × 17
    Prime factorization of 136 = 23 × 17
    Prime factorization of 138 = 2 × 3 × 23
    LCM = 23 × 3 × 17 × 23 = 8 × 3 × 17 × 23 = 9384

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