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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asked Nov 28, 2017 in Mathematics by Golu (37,045 points) 19 145 416

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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answered Nov 28, 2017 by Rohit Singh (61,782 points) 35 133 357
selected Nov 28, 2017 by Golu
 
Best answer

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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