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5 bells ring simultaneously at intervals of 5, 6, 8, 9 and 10 seconds. All the bells start ringing simultaneously. When will they play together next time:

5 bells ring simultaneously at intervals of 5, 6, 8, 9 and 10 seconds. All the bells start ringing simultaneously. When will they play together next time: Correct Answer 6 minutes later

Given:

5 bells ring simultaneously at interval of 5, 6, 8, 9 and 10 seconds

Concept used:

Concept of LCM (Least Common Multiple) will be used

Calculations:

According to the question, we have

LCM of 5, 6, 8, 9 and 10 is

⇒ LCM = 2 × 2 × 2 × 5 × 3 × 3

⇒ LCM = 360

LCM of 5, 6, 8, 9 and 10 is 360

Thus, all bells ring after 360 seconds

In minutes, it is written as 

⇒ 360/60 = 6 Minutes

∴ All the bells ring after 6 minutes later.

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