GCF and LCM Word Problems

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

Tags

CCSS.6.NS.B.4

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

Tags

CCSS.6.NS.B.4

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

Tags

CCSS.6.NS.B.4

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

Tags

CCSS.6.NS.B.4

What is the LCM of 5 and 2?

Mathematical Equivalence

ON

Answer explanation

The multiples of 5 and 2 are:

5: 5, 10, 15, 20

2: 2, 4, 6, 8, 10

The first common multiple is 10, so 10 is the LCM.

Tags

6.NS.4