GCF and LCM Problems

The school cafeteria serves tacos every sixth day and cheeseburgers every eight day. If tacos and cheeseburgers are both on today’s menu, how many days will it be before they are both on the menu again?

• 14 days

• 24 days

• 34 days

• 44 days

Jenny goes to karate class every 12 days.and too the library every 18 days. On December 1st she went to both class and the library. On what date will she do both class and go to the library?

• 24 days

• 36 days

• 42 days

• 52 days

At a family reunion, each of Saria’s aunts and uncles is getting photographed once. The aunts are taking pictures in groups of 5 and the uncles are taking pictures in groups of 10. If Saria has the same total number of aunts and uncles, what is the minimum number of aunts that Saira must have?

• LCM = 10 Aunts

• LCM = 15 Aunts

• LCM= 20 Aunts

• LCM= 5 Aunts

Shannon is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white
balloons, and 16 orange balloons. She wants each arrangement to have the same number of each
color. What is the greatest number of arrangements that she can make if every balloon is used?

• 6

• 2

• 4

• 8

Match the following

• fewer!

  (Example: 12: 1, 2, 3, 4, 6, 12)

• Factors mean

• Least Common Multiple

• Multiples mean

• Greatest Common Factor

• GCF stands for...

• more!

  (Example: 3: 3, 6, 9, 12, 15, 18)

• LCM stands for...

Jane has 18 juice boxes, 24 bags of peanuts and 36 apples.  She wants to make snack bags with the same number of each thing in each bag.  What is the greatest number of snack bags Jane can make.

• 4

• 6

• 8

• 10

Maya had 16 red flowers and 24 yellow flowers.  She wants to make bouquets with the same number of each color flower in each bouquet.  What is the greatest number of bouquets that she can make?

• 4

• 2

• 48

• 8

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 three activities on the same day?

• 16

• 24

• 48

• 32

Oscar needs to ship 14 rocks CDs, 12 classical CDs, and 8 pop CDs. He can pack only one type of CD in each box and he must pack the same number of CDs in each box. What is the greatest number of CDs Oscar can pack in each box?

• 7

• 1

• 8

• 2

Matthew goes hiking every 2 days and swimming every 6 days, He did both kinds of exercise today. How many days from now will he go both hiking and swimming again?

• GCF, 2 days

• LCM, 12 days

• GCF, 12 days

• LCM, 13 days