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Question

Find the least square number which is exactly divisible by each of the numbers 8, 12, 15 and 20.


Solution

L.C.M. of 8, 12, 15, 20 = 2×2×2×3×5=120

120=¯¯¯¯¯¯¯¯¯¯¯¯2×2×2×3×5
To make it a perfect square it must be multiplied by 2×3×5=30
Then least perfect square= 120×30=3600

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