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    Find the LCM of 12, 40, 50 and 78.
    Question

    Find the LCM of 12, 40, 50 and 78.

    A.

    7800

    B.

    9200

    C.

    15600

    D.

    3900

    Correct option is A

    Given:

    We need to find the Least Common Multiple (LCM) of 12, 40, 50, and 78.

    Solution:

    Prime factorizations:

    12 = 22×32^2 \times 3​​

    40 = 23×52^3 \times 5​​

    50 = 2×522 \times 5^2​​

    78 = 2×3×132 \times 3 \times 13​​

    LCM = 23×3×52×13 2^3 \times 3 \times 5^2 \times 13​​

    =8×3×25×13= 8 \times 3 \times 25 \times 13​​

    = 7800

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