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Find the least square number which is exactly divisible by 10,12,15 and 18.

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Find the least square number which is exactly divisible by 10,12,15 and 18.

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L.C.M. of 10, 12, 15, 18 = 180. 

Now, 180 = 2 * 2 * 3 * 3 *5 

= 22 * 32 * 5. 

To make it a perfect square, it must be multiplied by 5. 

Required number = (22 * 32 * 52 ) = 900.

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