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by which smallest number must 5400 be multiplied to make it a perfect cube.

Answer:
To make perfect cube by multiplying 5400 to a smallest number is 
Factors of 5400 are
5400 = 2 × 2 × 2 × 3 × 3 × 3 × 5  × 5
We can see that here 2 and 3 are in cube form than we multiplied 5400 by 5 and get
27000 = 2 × 2 × 2 × 3 × 3 × 3 × 5  × 5 × 5 

27000 =  2 × 3× 5 3

27000 =   30  3     

 So the smallest number is 5                                                      ( Ans )

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5400=2X2X2X 3X3X3X5X5

therefore the smallest number to be multiplied to get a perfect cube is

5 X 5 =10

perfect cube =5400 x 10

=10

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