Question

find the smallest square number divisible by each of the number 8 9 and 10

Answer 1

Hello Dear!!!

Here's your answer...

First,we have to do LCM of those 3 numbers

LCM of 8,9,10 is 360

360 is divisible by 8,9,10

But 360 is not a perfect square..

so..multiply with 10

3600

now,

3600 is a perfect square..

it is divisible by 8,9 and 10


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HOPE THIS HELPS YOU.....

Answer 2

lcm(8,9,10)=360
360=(2^2)(2×5)(3^2)
360×10 = (2^2)(10^2)(3^2)
3600=(2×10×3)^2
3600=60^2
therefore 3600 is the smallest square divisible by 8,9,10

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