SOLUTION: 5 bells ring at interval of 15, 162, 6, 48, 18 seconds respectively. If the bells ring together at 1 O'clock, when will they ring together again? How many times will they ring toge

Question 973997: 5 bells ring at interval of 15, 162, 6, 48, 18 seconds respectively. If the bells ring together at 1 O'clock, when will they ring together again? How many times will they ring together in 1836 minutes ?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
To solve, we need to find the LCM (least common multiple) of the 5 numbers. At times which are multiples of the LCM, the bells will ring together.
If you work it out, you should obtain an LCM of 6480 for the numbers 15, 162, 6, 48 and 18.
So, the first time they ring together is 6480 seconds after 1:00. 6480/60 = 108 min, or 1 hr and 48 min.
So they will ring together at 2:48. The number of times they ring together in 1836 min = 1836/108 = 17 times.
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