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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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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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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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