Question

Three bells toll at regular intervals of 15 minutes, 16 minutes and 36 minutes respectively. Given that they toll together at 2.00pm at what time will they toll next together ?

Answer 1

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▪️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.