Greatest Common Factor and Least Common Multiple Word Problems

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

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?

• Greatest Common Factor
• Least Common Multiple

Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make? How many of each type of fruit will be in the baskets?

• Greatest Common Factor
• Least Common Multiple

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?

• Greatest Common Factor
• Least Common Multiple

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?

• Greatest Common Factor
• Least Common Multiple

Jenny goes to dance class every 6 days, karate class every 12 days, and to the library every 18 days. On December 1st she went to both classes and the library. On what date will she do both classes and go to the library?

• Greatest Common Factor
• Least Common Multiple

At Kentucky Fried Chicken, the kitchen staff baked 96 chicken legs, 144 thighs, and 224 wings. The staff had to prepare platters for a catered lunch at an office. Each platter will have the same number of legs, thighs, and wings. How many platters can the staff make if they want the greatest number of chicken pieces on each platter?

• Greatest Common Factor
• Least Common Multiple

Radio station Z-100 was giving away a $100 bill to every 100th caller during a contest and gave Jingle Ball tickets to every 40th caller. How many callers must call before someone wins both a $100 bill and a Jingle Ball ticket?

• Greatest Common Factor
• Least Common Multiple