Three bells toll at intervals of 9, 12, 15 minutes respectively. If they start tolling together, after what time they next toll together?
Three bells toll at intervals of 9, 12, 15 minutes respectively. If they start tolling together, after what time they next toll together?
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Solution:
9 = 3 x 3 = 32
12 = 2 x 2 x 3 = 22 x 3
15 = 3 x 5
=> LCM (9, 12, 15) = 22 x 32 x 5 = 180
=> the bells will toll together after 180 minutes.
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