Question

find the smallest square number which is exactly divisible by 8 9 10

Answer 1

L.C.M. of 8,9,10 is 2*2*2*3*3*5=360.
Since 2 and 5 are not in pairs multiply by 2 and 5 to make it a perfect square.
The required number=360*2*5=3600.
Therefore the smallest square divisible by 8,9,10 is 3600.

Answer 2

To find the smallest number, we will find the LCM of 8, 9 and 10


8 = 2 × 2 × 2

9 = 3 × 3

10 = 2 × 5


LCM = 2 × 2 × 2 × 3 × 3 × 5


LCM = 360


Here, the 2 and 5 are not in a pair.

So, 360 × 2 × 5


= 3600


The smallest number is 3600.