LCM Word Problems

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

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 again?

• 48 seconds

• 45 seconds

• 16 seconds

• 8 seconds

Sara 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

Peter has 18 oranges and 27 pears.  He wants to make fruit baskets with the same number of each fruit in each basket.  What is the greatest number of baskets he can make? 

• 3

• 18

• 9

• 27

At Kentucky Fried Chicken, the kitchen staff baked 96 chicken legs and 144 thighs.  The staff had to prepare platters for an office lunch.  If each platter will have the same number of legs and thighs, what is the greatest number of platters they can make?

• 48

• 2

• 4

• 16

Jeremy has two pieces of wood:  one is 90 inches and the other is 72 inches. He wants to cut both pieces into smaller pieces of the same length.  What is the longest possible length he can cut and not have any lumber left over?

• 9

• 2

• 18

• 72

Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers
for her teacher friends at school. She wants to divide the cookies into identical containers so that each
container has the same number of each kind of cookie. If she wants each container to have the
greatest number of cookies possible, how many plastic containers does she need?

• 2

• 4

• 6

• 8

Peter has 18 oranges and 27 pears. He wants to make fruit baskets with the same number of each fruit in each basket. How many PEARS will be in the greatest number of fruit baskets?

• 7

• 8

• 9

• 10

Peter has 18 oranges and 27 pears. 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?

• 1

• 2

• 3

• 4

Cups are sold 6 to a package and plates are sold 8 to a package. If you want to have the same number of each item for a party, what is the least number of packages of each you need to buy?

• 12

• 24

• 18

• 48