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There are four bells which toll at intervals of 3,7,12and14sec.respectively. the four bells begin to toll at 12o'clock. when will they next toll together and how often they do so in 14minutes?
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There are four bells which toll at intervals of 3,7,12and14sec.respect...


Finding the Next Time the Bells will Toll Together

  • Step 1: Find the least common multiple (LCM) of the intervals of the four bells: 3, 7, 12, and 14 seconds.
  • Step 2: LCM(3, 7, 12, 14) = 84 seconds
  • Step 3: The four bells will next toll together after 84 seconds.


Finding How Often the Bells Toll Together in 14 Minutes

  • Step 1: Convert 14 minutes to seconds: 14 minutes = 14 * 60 seconds = 840 seconds.
  • Step 2: Divide the total time (840 seconds) by the LCM of the intervals (84 seconds) to find how often the bells toll together in 14 minutes.
  • Step 3: 840 / 84 = 10 times
  • Step 4: The four bells will toll together 10 times in the span of 14 minutes.



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There are four bells which toll at intervals of 3,7,12and14sec.respectively. the four bells begin to toll at 12o'clock. when will they next toll together and how often they do so in 14minutes?
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