Question 74

Find the least square number which is divisible by 4, 8, 2, 6 and 12?

Solution

The least number which is divisible by 4, 8, 2, 6 and 12

= L.C.M. (2,4,6,8,12) = 24

Now, prime factorization of $$24=2^3\times3$$

Now to make it a perfect square, we need to multiply it by $$2\times3=6$$

=> The least square number which is divisible by 4, 8, 2, 6 and 12 = $$24\times6=144$$

=> Ans - (D)

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