Question

Find the smallest square number which is exactly divisible by 10,12,18,and 24.

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Answer 1

The least number divisible by 10,12,18 and 24 is their LCM.

LCM of 10,12,18,24 = (2×2×2×3×3×5) = 360

360 = 2× 2 ×2× 3× 3 ×5

To make it a perfect square,it must be multiplied by (5×2), i.e., by 10

Hence, required no. = 360×10 = 3600

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