Question

The smallest number by which 1944 should be multiplied so that it becomes a perfect cube is –
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Answer 1

Hello Mate!!!Here is your answer

L.C.M of 1944=2*2*2*3*3*3*3*3=2^3 * 3^3 *3^2

   we know that...

        in perfect cube.... the power of every prime factor should be 3

  Therefore,

 in 1944 -- the power of 2 is 2*2*2=2^3

                 the power of 3 is 3*3*3*3*3=3^5

if the power of 3 is 6 then we get the perfect cube....but the power is 5 ...so we multiply with 3 to make the power 6...which makes it a perfect cube

Therefore,

  required number to multiply = 3

Hope it helps....pls sister mark my answer as brainliest answer ....pls brother...i am your little brother