Three bells toll at intervals of 9,12,15 minutes respectively. If they

1.	Three bells toll at intervals of 9,12,15 minutes respectively. If they start tolling together, after what time will they next toll together ?
Answer» To find LCM (9, 12, 15) 9 = 3 × 3 12 = 2 × 2 × 3 15 = 3 × 5 ∴ LCM (9, 12, 15) = 3 × 3 × 2 × 2 × 5 = 180 minutes The bells will toll together after 180 minutes.

Three bells toll at intervals of 9,12,15 minutes respectively. If they start tolling together, after what time will they next toll together ?

Answer»

To find LCM (9, 12, 15)

9 = 3 × 3

12 = 2 × 2 × 3

15 = 3 × 5

∴ LCM (9, 12, 15) = 3 × 3 × 2 × 2 × 5

= 180 minutes

The bells will toll together after 180 minutes.

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Three bells toll at intervals of 9,12,15 minutes respectively. If they start tolling together, after what time will they next toll together ?

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