Question

Three bells toll at intervals pf 12min, 15min and 18min respectively of they starts tolling together after what time will they next toll together.

Answer 1

Answer:

As given the bels toll at intervals of 12 min, 15 min and 18 min respectively.

After they start together, they would

meet at the time when their tolling interval coincides i.e. The L.C.M of 12 15 and 18.

12 = 2*2*3

18 = 3*3*2

15 = 3*5

L.C.M is the product of distinct factors raised to the highest powers,

Thus, the L.C.M is

2*2*3*3*5 = 180 minutes.

Thus, they will toll together after 180 minutes of starting i.e. after 3 hours.

Hope this helps.