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Question

Find the least square number which is exactly divisible by each of the numbers 6, 9, 15 and 20.


Solution

L.C.M. of 6, 9, 15 and 20

=2×3×5×2×3=180
Now, 180=¯¯¯¯¯¯¯¯¯¯¯¯2×2ׯ¯¯¯¯¯¯¯¯¯¯¯3×3×5
To make it a perfect square, it must be multiplied by 5
Product= 180×5=900 Hence, the least square number= 900

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