Three clocks in a shop ring at intervals of 6 minutes, 14 minutes and 24 minutes. If they
ring together at 8:45 am, at what time will they ring together again ?
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Answer: 11:33 AM
Step-by-step explanation:
The three clocks will again ring together at the LCM of the time after which they ring.
So, we have to find the LCM of 6,14 and 24.
6 = 2 × 3
14 = 2 × 7
24 = 2 × 2 × 2 × 3
LCM(6,14,24) = 168
So, they will ring again together after 168 minutes.
So, they will ring again at 11:33 AM.
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