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Three bells ring at intervals of 4, 7 an...

Three bells ring at intervals of `4, 7 and 14` minutes. All three range at `6` am. When will they ring together again ?

Text Solution

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We have to find a number (in time ) which is divided by all the 3 numbers completely. It means `to LCM ` of 3 number.
`4=2xx2`
`7=7`
`14=2xx7`
`:. LCM=2xx2xx7=28`
So, 28 is the smallest number which is divided by 4,7 and 14 completely.
Hence, all the three bells will ring together at 6:28 am.
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