Question

Four bells ring at intervals of 8, 12, 18 and 29 minutes respectively. at what time will they ring together if they start ringing simultaneously at 12 noon

Answer 1

For LCM of 8, 12, 18, 29

8= 2*2*2

12= 2*2*3

18= 2*3*3

29= 1*29

So, LCM = 2*2*2*3*3*29 = 1392 seconds

= 23 minutes 12 seconds

So, they will ring together after every 23 m 12 sec

As start is 12 noon so they will ring together

again at 12 : 23 : 12 PM