232k views
3 votes
Traffic lights at three different road crossing change after 48 seconds, 72 seconds, and 108 seconds respectively. At what time will they change together again if they change simultaneously at 7 A.M.?

User Rgommezz
by
4.3k points

2 Answers

4 votes

Answer:

7 minutes , 12s

Explanation:

Thanks bro

Traffic lights at three different road crossing change after 48 seconds, 72 seconds-example-1
User Fonseca
by
4.0k points
0 votes

Answer: 8:07:12

Find the Prime Factors.

48 = 2⁴ x 3

72 = 2³ x 3²

108 = 2² x 3³

Find the Least Common Multiple.

Two:

LCM = 2⁴ x 3³

LCM = 16 x 27 = 432

Convert 432 seconds to minutes.

432 seconds = 7 minutes, 12 seconds.

Hope this helps!

User Kevin Etore
by
4.0k points