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Two bells ring at intervals of 63 seconds and 74 seconds. If they both ring at 10 O'clock in the morning together, after how many seconds will they ring together again?

Two bells ring at intervals of 63 seconds and 74 seconds. If they both ring at 10 O'clock in the morning together, after how many seconds will they ring together again? Correct Answer 4662

The logic follows here is:

Two bells ring at intervals of 63 seconds and 74 seconds.

Both the bells ring at 10 o'clock in the morning together

Now,

Both the bells will ring together again = LCM (63, 74)

According to the prime factorisation method,

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The factors of 63 = 3 × 3 × 7

The factors of 74 =  

⇒ LCM (63, 74) = 3 × 3 × 7 × 2 × 37

⇒ 4662

Therefore, Both the bells will ring together again after 4662 seconds.

Hence, the correct answer is "4662".

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