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    The LCM of 18, 72, 184 and 144 is:
    Question

    The LCM of 18, 72, 184 and 144 is:

    A.

    3388

    B.

    3351

    C.

    3312

    D.

    3220

    Correct option is C

    Given:

    Numbers = 18, 72, 184, 144

    Formula Used:

    LCM = Product of highest powers of all prime factors involved in any of the numbers.

    Solution:

    Prime Factorization

    18 = 2×32 2 \times 3^2​​

    72 = 23×322^3 \times 3^2​​

    184 = 23×23 2^3 \times 23​​

    144 = 24×322^4 \times 3^2​​

    LCM = 24×32×23=16×9×23=3312 2^4 \times 3^2 \times 23 = 16 \times 9 \times 23 = 3312​​

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