The least perfect square, which is divisible by each of 21, 36 and 66 is ?



The least perfect square, which is divisible by each of 21, 36 and 66 is ?

A. 13414

B. 213424

C. 213434

D. 213444

Answer : D. 213444


Explanation:

    L.C.M. of 21, 36, 66 = 2772
    Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11
    To make it a perfect square, it must be multiplied by 7 x 11.
    So, required number = 2 x 2 x 3 x 3 x 7 x 7 x 11 x 11 = 213444



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