Question

# $3$ bells ring at an interval of $4$, $7$ and $14$ $minutes$. All three bell rang at $6am$, when the three balls will the ring together next?

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Solution

## Given that, $3$ bells ring at an interval of $4$, $7$ and $14$ $minutes$.To find the time interval at which they rang again we have to find L.C.M of three time intervals.Let us find the L.C.M of $4$, $7$ and $14$.$4=2×2\phantom{\rule{0ex}{0ex}}7=7×1\phantom{\rule{0ex}{0ex}}14=2×7$$LCM\left(4,7,14\right)=2×2×7=28$Therefore, all the three balls will ring together again at $6:28am$.

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