Question

. Find the least square number which is exactly divisible by 3, 4, 5, 6 and 8.

Answer 1

Answer:

First find the lcm

lcm of 3, 4, 5, 6 and 8 = 120

120 = 2 x 2 x 2 x 3 x 5

as we can see 2, 3, and 5 are not in pairs so we've to multiply it by the stated number that is 120

⇒120 x 2 x 5 x 3 = 3,600

:. 3600 is the least perfect square

Answer 2

LCM of 3, 4, 5, 6 and 8 to be found first

=> LCM = 120

120 = 2 × 2 ×2×3×5

As 2 and 3 and 5 are not on pairs, we have to put them in pairs . ( to obtain a square number)

=> 2×2×2×2×3×3×5×5 => 2²×2²×3²×5²

= 3600