Question

three bells toll at regular intervals of 15 min, 16 min and 36 min respectively given that they toll together at 2:00 pm, at what time will they next toll together

Answer 1

The will toll together at 2:00 am

Answer 2

Find the LCM of 15, 16 and 36.

2 | 15, 16, 36

2 | 15, 8, 18

3 | 15, 4, 9

| 5, 4, 3

LCM = 2 x 2 x 3 x 5 x 4 x 3 = 720

So they toll together after 720 minutes from 2 pm.

60 minutes = 1 hour

720 minutes = 720 ÷ 60 = 12 hour.

2 pm + 12 = 14 pm = 2 am

∴ Next they toll together at 2:00 am.

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