Question

Find the smallest number by which 1125 be multiplied to get a perfect cube

Answer 1

Given:

Find the smallest number by which 1125 be multiplied to get a perfect cube?

To find:

The smallest number

Solution:

LCM of 1125:

1125 = 5×5×5x3x3

5 occur 3 times but 3 occur only 2 times

so, we multiple 3 to get triplets.

1125 x 3 = 5x5x5x3x3x3

1125 x 3 = 3375

The smallest number is 3.

3375 is the perfect cube of 15.

Answer 2

Answer:

3

Step-by-Step Explanation:

LCM of 1125:

1125 = 5×5×5x3x3

5 occurs three times but 3 occurs two times  only

So, we add 3 to get triplets.

1125 x 3 = 5 x 5 x 5 x 3 x 3 x 3

1125 x 3 = 3375

The smallest number is 3.  

3375 is the perfect cube of 15.

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