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A red light flashes every 6 seconds. A green light flashes every 15 seconds. A blue light flashes every 21 seconds. They have all flashed at the same time.

After how many seconds will they next all flash at the same time?

Answer :

The next time all three lights will flash at the same time will be in 210 seconds, or 3 minutes and 30 seconds.

How to find the next time all three lights will flash at the same time

To find the time at which all three lights will flash at the same time, we need to find the LCM (Least Common Multiple) of the given times.

Prime factorizing each time, we get:

6 = 2 x 3

15 = 3 x 5

21 = 3 x 7

To find the LCM, we take the highest power of each prime factor that appears in any of the numbers:

2 x 3 x 5 x 7 = 210

Therefore, the next time all three lights will flash at the same time will be in 210 seconds, or 3 minutes and 30 seconds.

Learn more about lowest common multiple at:https://brainly.com/question/28109219

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