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Lowest Common Multiple

Three alarms ...

Question

Three alarms clocks rings at interval at $4, 12$ and $20$ minute respectively. If they start ringing together after how much time will they next ring together?

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Solution

Clocks will ring together again at L.C.M of 4,12,20
$\Rightarrow L C M = 4 \times 1 \times 3 \times 5$
=60
$\Rightarrow$ clocks ring together after 60 minutes.

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