GCF/LCM Word 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

A radio station is giving away a $100 bill to every 30th caller and movie tickets to every 40th caller.  Which caller will be the first to win both prizes?

• 5
• 2
• 10
• 120

Two clocks are turned on at the same time. One clock chimes every 15 minutes. The other clock chimes every 25 minutes. In how many minutes will they chime together?

• 55 minutes
• 25 minutes
• 60 minutes
• 75 minutes

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

Eason is making activity baskets to donate to charity.  She has 12 coloring books and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?

• 2
• 12
• 36
• 6

At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?

• 16th customer
• 150th customer
• 300th customer
• 180th customer

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

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

• Greatest Common Factor
• Least Common Multiple

Two neon signs are turned on at the same time.  Both signs blink as they are turned on.  One sign blinks every 9 seconds.  The other sign blinks every 15 seconds.  In how many seconds will they blink together?

• Greatest Common Factor
• Least Common Multiple

Lisa is making activity baskets to donate to charity.  She has 12 coloring books, 28 markers, and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?

• Greatest Common Factor
• Least Common Multiple