Question

Find the smallest square number which is divisible by each of the numbers 5, 8 and 9.​

Answer 1

Answer:

LCM of 5 ,8 and 9 is clearly 360.

now when we multiply 360 by 10 we will get 3600.

and thus this is our answer as 3600 is the smallest square number divisible by 5 8 and 9.

Answer 2

Answer:

10,800..

Explanation:

L.C.M of 5,8 and 9 = 2×2×2×5×3×3= 360

So, here prime factors 2 and 5 do not have their respective pair. Therefore 360 is not a perfect square.

Therefore 360 should be multiplied by 2×5 i.e

10 to obtain a perfect square.

Hence the required square number is 360 ×2×5=3600..

Hope it helps..

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