Find the least square number which is exactly divisible by each of the numbers 6,9,15 and 30 Question Find the least square number which is exactly divisible by each of the numbers 6,9,15 and 30 in progress 0 Math Kennedy 3 months 2021-10-15T16:18:59+00:00 2021-10-15T16:18:59+00:00 2 Answers 0 views 0

## Answers ( )

## 900

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Answer:Step-by-step explanation:Find the least square number which is exactly divisible by each of the numbers 6,9,15 and 20

First we find least number which is exactly divisible by numbers 6,9,15 and 20

For that we need to find LCM

6 = 2 * 3

9 = 3 * 3

15 = 3 * 5

20 = 2 * 2 * 5

LCM = 2 * 2 * 3 * 3 * 5 = 180

LCM = 2² * 3² * 5

To make it perfect square we need to multiply it by 5

= 2² * 3² * 5²

= 30²

= 900

900 is the least square number which is exactly divisible by each of the numbers 6,9,15 and 20

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