Math, asked by doll1234, 1 year ago

the smallest square number that is divisible by each of the number 8 15 and 20

Answers

Answered by inhumandrowsey
1

8 = 2 x 2 x 2

15 = 3 x 5

20 = 2 x 2 x 5

LCM = 2 x 2 x 2 x 3 x 5 = 120


120 = 4 * 2 * 3 * 5 = 4 * 30. Since 4 is a perfect square and 30 is not, this means you need to multiply 120 by 30 to get the smallest perfect square divisible by 8, 15 and 20. Thus the smallest square number divisible by 8, 15 and 20 is 3600.

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