Question

Shreyas, Shalaka and Snehal start running from the same point on a circular track at the same time and complete one lap of the track in 16 minutes, 24 minutes and 18 minutes respectively. What is the shortest period of time in which they will all reach the starting point together ?

Answer 1

The number of minutes they will take to reach together will be a multiple of 16, 24 and 18. To find out the smallest such number, we will find the LCM.
16 = 2 $\times$ 2 $\times$ 2 $\times$ 2
24 = 2 $\times$ 2 $\times$ 2 $\times$ 3
18 = 2 $\times$ 3 $\times$ 3
LCM = 2 $\times$ 2 $\times$ 2 $\times$ 2 $\times$ 3 $\times$ 3 = 144
They will come together in 144 minutes or 2 hours 24 minutes.