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    The smallest natural number which is divisible by 12, 28, 36 and 27 is:
    Question

    The smallest natural number which is divisible by 12, 28, 36 and 27 is:

    A.

    822

    B.

    688

    C.

    756

    D.

    691

    Correct option is C

    Given:

    We are to find the smallest natural number divisible by:

    12, 28, 36, and 27.

    Solution:

    Prime factorization:

    12 = 22×32^2 \times 3 ​​

    28 = 22×7 2^2 \times 7​​

    36 = 22×32 2^2 \times 3^2 ​​

    27 = 33 3^3 ​​

    LCM = 22×33×7=4×27×72^2 \times 3^3 \times 7 = 4 \times 27 \times 7​ = 756

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