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Three bells toll at an interval of 4,5 and 6 seconds. After how much time will they toll together?

User Soe Moe
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1 Answer

3 votes

Answer:

1 minute

Explanation:

To find out when the three bells will toll together, we need to find the smallest time interval at which all three intervals of 4, 5, and 6 seconds will occur. This can be found by calculating the least common multiple (LCM) of 4, 5, and 6.

The prime factorization of 4 is 2².

The prime factorization of 5 is 5¹.

The prime factorization of 6 is 2¹ x 3¹.

To find the LCM, we need to take the highest power of each prime factor that appears in any of the numbers and multiply them together. Therefore, the LCM of 4, 5, and 6 is:

LCM(4, 5, 6) = 2² x 3¹ x 5¹ = 60 seconds

So, the answer is 1 minute.

User Mmatyas
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