Question

Find the smallest square number divisible by each of the following numbers 8,9 and 10.​

Answer 1

Answer:

The least square number which is exactly divisible by 8, 9, and 10 = L.C.M. of 8, 9, and 10.

Hence,L.C.M = 2×2×2×3×3×5=360

As we calculate,

2×2×2×3×3×5

2 and 5 have incomplete pairs.

So, to make if perfect square, we have to multiple it by

2 × 5 = 10

Now, 360 ×10 = 3600

Hence, the answer is 3600.