What is the smallest number that 300 should be multiplied by to make a perfect cube?

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150 Questions 150 Marks 150 Mins

Given:

A number is given 864

Calculations:

According to the question, we have

The LCM of 864 is,

What is the smallest number that 300 should be multiplied by to make a perfect cube?

So, we can write 864 as

864 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3

For making cube, make 3 same number pairs 

864 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 2 × 2

Clearly, we can see 2 and 3 make pairs and one pairs of digit 2 has not been fulfilled.

So, We have to multiply 864 by 2, then we get a perfect cube

∴ We have to multiply 864 by 2 to get a perfect cube.

Last updated on Sep 26, 2022

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What is the smallest number that 300 should be multiplied by to make a perfect cube?

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Updated On: 27-06-2022

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What is the smallest number that 300 should be multiplied by to make a perfect cube?

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What is the smallest number that 300 should be multiplied by to make a perfect square?

Hence we need to multiply 300 by 3 in order to make it a perfect square. Therefore, the square root of the required number is 30.

What is the smallest number by 300 divided to make a perfect cube?

∴ Required smallest number is 3.

IS 300 a perfect square if not find the smallest multiple of 300 which is a perfect square also find the square root of the number obtained?

Answer: No,300 is not a perfect square. √900=30. SO there it is,your answer!!

What is the smallest number that should be multiplied with 320 to make it a perfect square?

Hence, the smallest whole number by which 320 should be multiplied so as to get a perfect square number is 5.