Concept 4: Time when they will meet for the first time at the Starting Point.
Time when they will meet first time at the starting point = LCM(time taken by each individual to take one round) .
Let's assume there are three persons, A, B and C with respective speed of 30, 20 and 10 m/s
Length of track = 1000 m .
Time taken by A = 1000/30
Time taken by B = 1000/20
Time taken by C = 1000/10
LCM(100/3, 50, 100) = LCM(100,50,100)/HCF(3,1,1) = 100/1 = 100s.
Hence they all will meet first time at the starting point after 100s.