5 bells toll at intervals of 5,6,10,15 and 20 seconds respectively. if they toll together at the same time, after how many seconds will they toll together again, for the first time?
5 bells toll at intervals of 5,6,10,15 and 20 seconds respectively. if they toll together at the same time, after how many seconds will they toll together again, for the first time? The correct answer is 60 seconds
by J Nandhini | Updated Nov 03, 2023
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5 bells toll at intervals of 5,6,10,15 and 20 seconds respectively. if they toll together at the same time, after how many seconds will they toll together again, for the first time?
The Correct answer is 60 seconds
The time it takes for the bells to toll together again for the first time can be found by calculating the least common multiple (LCM) of the given intervals: 5, 6, 10, 15, and 20 seconds.
The prime factorizations of these numbers are:
5 = 5 6 = 2 * 3 10 = 2 * 5 15 = 3 * 5 20 = 2 * 2 * 5
The LCM is found by taking the highest power of each prime that appears in any of the factorizations:
LCM = 2^2 * 3 * 5 = 60 seconds.
So, the bells will toll together again for the first time after 60 seconds.
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5 bells toll at intervals of 5,6,10,15 and 20 seconds respectively. if they toll together at the same time, after how many seconds will they toll together again, for the first time? - FAQ
1. 5 bells toll at intervals of 5,6,10,15 and 20 seconds respectively. if they toll together at the same time, after how many seconds will they toll together again, for the first time?
The Correct answer is 60 seconds