John, Smith and Kate start at same time, same point and in same direction to run around a circular ground. John completes a round in 250 seconds, Smith in 300 seconds and Kate in 150 seconds. Find after what time will they meet again at the starting point?

Question: John, Smith and Kate start at same time, same point and in same direction to run around a circular ground. John completes a round in 250 seconds, Smith in 300 seconds and Kate in 150 seconds. Find after what time will they meet again at the starting point?Solution:L.C.M. of 250, 300 and 150 = 1500 secDividing 1500 by 60 we get 25, which mean 25 minutes.John, Smith and Kate meet after 25 minutes.