Question

Find the smallest square no. Which is exactly divisible by each of the no. 12,24 and 40

Answer 1

Answer:

For finding the smallest number we first need to find LCM.

LCM or the Least Common Multiple is the smallest positive integer that is divisible by all 3 numbers. One way to find LCM is by using the prime factorisation method.

12 = 2 × 2 × 3 = 2² × 3

24 = 2 × 2 × 2 × 3 = 2³ × 3

40 = 2 × 2 × 2 × 5 = 2³ × 5

Therefore, LCM = 2³ × 3 × 5 = 120

Hope this helps