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The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both stations at 3:00 pm and time will it be when despacito at the same time

User Rzar
by
5.5k points

2 Answers

6 votes

Answer:

of course they play despacito that much lol

Explanation:

User Tielman Nieuwoudt
by
5.3k points
0 votes

Answer:

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

Explanation:

The radio hot 97 plays despacito ft Justin beiber every 5 minutes. Another station Z 100 plays despacito every 7 minutes. Both stations at start 3:00 pm and what time will it be when despacito at the same time ?

Find and list multiples of time that despacito plays Radio hot 97 and Station Z 100.

Hence, we find the Multiples of 5 minutes and 7 minutes until the first common multiple is found. This is the lowest common multiple.

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45

Multiples of 7:

7, 14, 21, 28, 35, 42, 49

Therefore, the first common multiple is found which is the lowest common multiple is 35

LCM(5, 7) = 35

The next time they would play despacito on both stations is after 35 minutes.

Hence, 3:00pm + 35

= 3:35 pm

User Nevir
by
4.9k points
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