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Two of the lights at stadium are flickering. They both just flickered at the same time. One of the lights flickers every 7 seconds and the other flickers every 8 seconds. How many seconds until both lights will flicker at the same time again?

Question

Two of the lights at stadium are flickering. They both just flickered at the same time. One of the lights flickers every 7 seconds and the other flickers every 8 seconds. How many seconds until both lights will flicker at the same time again?

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Solution

To find out when both lights will flicker at the same time again, we need to find the least common multiple (LCM) of 7 and 8.

Step 1: Write down the multiples of each number. Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56... Multiples of 8: 8, 16, 24, 32, 40, 48, 56...

Step 2: Find the smallest number that appears in both lists. The smallest number that appears in both lists is 56.

So, both lights will flicker at the same time again after 56 seconds.

This problem has been solved

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