Grade 6 | Unit 7 | Lesson 18: Using Common Multiples and Common Factors | Practice Problems

Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8 minutes to complete a sign, and it takes Noah 5 minutes to complete a sign. They keep working at the same rate for a half hour. Will Mai and Clare complete a sign at the same time? Explain your reasoning.

Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8 minutes to complete a sign, and it takes Noah 5 minutes to complete a sign. They keep working at the same rate for a half hour. Will Mai and Noah complete a sign at the same time? Explain your reasoning.

Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8 minutes to complete a sign, and it takes Noah 5 minutes to complete a sign. They keep working at the same rate for a half hour. Will Clare and Noah complete a sign at the same time? Explain your reasoning.

Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8 minutes to complete a sign, and it takes Noah 5 minutes to complete a sign. They keep working at the same rate for a half hour. Will all three students complete a sign at the same time? Explain your reasoning.

Diego has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a bake sale. He wants to make bags that have all three cookie flavors and the same number of each flavor per bag. How many bags can he make without having any cookies left over?

Diego has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a bake sale. He wants to make bags that have all three cookie flavors and the same number of each flavor per bag. Find another solution to this problem.

Find the product of 12 and 8.

Find the greatest common factor of 12 and 8.

Find the least common multiple of 12 and 8.

Find the product of the greatest common factor and the least common multiple of 12 and 8. What do you notice about the answers to question 1 and question 4?