three bells toll at intervals of 36 seconds 40 seconds and 48 seconds respectively. they start ringing together at particular time. they will toll next time together after? (a) 6 minutes
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If three bells toll at intervals of 36 seconds 40 seconds and 48 seconds respectively and we are ask to find the next time when they will toll togetherly. Then let me tell you for this type of questions you've to compute their LCM. That LCM will be the answer.
Lets begin:
36 = 2 x 2 x 3 x 3
40 = 2 x 2 x 2 x 5
48 = 2 x 2 x 2 x 2 x 3.
LCM = 2 x 2 x 2 x 3 x 2 x 3 x 5 = 720 seconds = 720/60 = 12 minutes (Ans)
Therefore, they will toll next time together after 12 minutes.
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