High School

An alarm flashes every 8 seconds and another alarm flashes every 12 seconds. If both alarms flash together initially, how many seconds will it be before they both flash together again?

Answer :

Final answer:

The alarms will flash together again after 24 seconds.

Explanation:

To find the time it takes for both alarms to flash together again, we need to find the least common multiple (LCM) of 8 and 12. LCM is the smallest multiple that both numbers have in common.

First, list the multiples of 8: 8, 16, 24, 32, 40, 48, .....

Next, list the multiples of 12: 12, 24, 36, 48, .....

The LCM of 8 and 12 is 24 seconds. So, as per the given question, the alarms will flash together again after 24 seconds.

Learn more about Least Common Multiple (LCM) here:

https://brainly.com/question/17847663

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