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1. Jonny plans a fitness program that will include biking every 3 days, hiking
every 7 days, and swimming every 14 days. How many days will pass before
he will do all 3 activities on the same day?

2. George goes to the gym every 3 days. Sam goes every 4 days. Anthony
works out every 6 days. When will they all meet at the gym?

3. The window display at the hobby shop contains a model racetrack with
three horses. The first horse completes a lap every 24 seconds. The
second horse completes a lap every 40 seconds. The third horse competes a
lap once every minute and a half. Suppose the horses start their first lap
from the same point at the same time. In an hour, how many times will the
horses reach the end of a lap at the same time?

4. Starting at the beginning of the block, Mary, Rachel, and Megan are each
delivering a limited number of different flyers to the houses. Mary drops
off a flyer to every 2nd house. Rachel drops off a flyer to every 3rd house,
and Megan delivers one to every fourth house. Which house gets all three
flyers first?

5. A wildlife park has three different kinds of bus tours. Tour A leaves
every 25 minutes. Tour B leaves every 45 minutes. Tour C leaves every 75
minutes. The first tour of the day for all three tours leaves at 10am. The
last tour of the day ends at 6:45pm. How many times during the day do all
three tours leave at the same time? At what times does this happen?

6. Jackie has piano lessons every 2 weeks. Her sister Jen has a soccer
tournament every 3 weeks. Her brother Joe has an orthodontist
appointment every four weeks. If they all have activities this Friday, how
long will it be before all of their activities fall on the same day again?

Lcm applications

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