Lesson 6-3: Develop Least Common Multiple

Let's check your homework from pg. 117-118.

1) Suppose the wall in the Example is 16 in. high and 28 in. long. What is the side length of the largest square tile that Kele and his stepmom can use to completely cover the wall? Show your work.

• 8 inches
• 6 inches
• 10 inches
• 4 inches

Use the tile size you found in problem 1a. How many tiles do Kele and his stepmom need to completely cover the 16 in.-by-28 in. wall? Show your work.

• 24 tiles
• 32 tiles
• 36 tiles
• 28 tiles

Carson says the greatest common factor of 12 and 15 is 60. Is Carson correct? Explain how you know.

What is the GCF of 60 and 100?

• 30
• 50
• 10
• 20

An art teacher makes packages of paintbrushes and paint for his students. He has 24 brushes and 40 tubes of paint. Each package will have the same number of brushes and the same number of tubes
of paint.

a. What is the greatest number of packages that the art teacher can make using all the paintbrushes and paint?

• 6
• 10
• 12
• 8

An art teacher makes packages of paintbrushes and paint for his students. He has 24 brushes and 40 tubes of paint. Each package will have the same number of brushes and the same number of tubes
of paint.

b. How many paintbrushes and tubes of paint are in each package?

• 5 brushes and 4 tubes of paint
• 3 brushes and 5 tubes of paint
• 2 brushes and 8 tubes of paint
• 4 brushes and 6 tubes of paint

How many months will it be when Anne and Morgan both shear their sheep?

Why do you think we could multiply two numbers and the LCM and the product will be the same?

How many times does Ariel need to buy a sandwich and a smoothie to earn a free sandwich and a free smoothie on the same visit? Show your work.

• 40 visits

• 20 visits

• 60 visits

• 80 visits