GCF vs. LCM What’s the difference?

Warm-Up At the gym, Hillary swims every 6 days, runs every 4 days, and cycles every 16 days. If she did all three activities today, in how many days will she do all activities again on the same day? A warehouse has three shelves that can hold 8, 12, or 16 skateboards. Each shelf has sections holding the same number of skateboards. What is the greatest number of skateboards that can be put in a section?

Question 2 A warehouse has three shelves that can hold 8, 12, or 16 skateboards. Each shelf has sections holding the same number of skateboards. What is the greatest number of skateboards that can be put in a section?

Question 4 Dante is planting his rose garden. He knows he can plant 12 or 15 rose bushes in every row. What is the least number of rose bushes Dante could have?

Question 6* A census is a survey that counts people. In the US, it is taken every 10 years. Presidential elections are held every 4 years. The year 2000 was both a census year and presidential year. What is the next year to hold both the census and presidential election?

Question 5* Aldar has 70 oranges, 28 apples, and 52 pears. He wants to put all his fruit into decorative baskets. Each basket must have the same number of pieces of fruit in it. What is the greatest number of baskets he can make and what is in each basket?

Question 7 Danny has 6 red marbles, 5 yellow marbles, and 4 blue marbles. Write a fraction in simplest form that compares the number of red marbles to the total number of marbles.