Question

Three boys step off together from the same place. If their steps measure 36 cm , 48 cm and 54 cm , at what distance from the starting point will they again step together?

Answer 1

Here we have to find the lcm.

lcm of 36, 48 and 54 is:

36=2×2×3×3 = 2²×3²

48=2×2×2×2×3 = 2⁴×3

54=2×3×3×3 = 2×3³

Therefore, lcm = 2⁴×3³ = 432

Hence, they will meet after 432cm.

Hope it helps...