Math, asked by SHASMECKA123, 8 months ago

find the least square number which is exactly divisible by each of the numbers 6, 9, 15 and 20. Please answer this as soon as possible.​

Answers

Answered by taeeo
3

your answer is ::

900!!!

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!

Answered by Anonymous
2

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