High School

A flashing bulb on a Christmas tree flashes once every 10 seconds. Two other bulbs flash once every 15 seconds and 24 seconds, respectively. If all three bulbs are flashing together now, how long will it take for the three bulbs to flash together again?

Answer :

Final answer:

The three bulbs will flash together again after 120 seconds.

Explanation:

To find when all three bulbs will flash together again, we need to find the least common multiple (LCM) of the flashing times of each bulb. The bulbs flash once every 10 seconds, 15 seconds, and 24 seconds respectively. So, the LCM of 10, 15, and 24 can be found as follows:

  1. The prime factorization of 10 is 2 x 5.
  2. The prime factorization of 15 is 3 x 5.
  3. The prime factorization of 24 is 2 x 2 x 2 x 3.

The LCM is the product of the highest powers of all the prime factors involved. In this case, the LCM is 2 x 2 x 2 x 3 x 5, which is equal to 120. Therefore, the three bulbs will flash together again after 120 seconds.

Learn more about Least Common Multiple here:

https://brainly.com/question/34291727

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