Factors and Multiples Answers

The first five multiples for the numbers 4 and 6 are shown below.Multiples of 4: 4, 8, 12, 16, 20, . . . Multiples of 6: 6, 12, 18, 24, 30, . . . What is the least common multiple of 4 and 6?

What is the least common multiple of 4 and 10?

Mr. Rodriguez is packing bags of snacks for his children’s lunchboxes. He plans to use 20 blueberries and 30 grapes. Each snack bag will have the same number of blueberries and grapes. How many bags can he make if each bag needs to be the same?

The prime factorizations of 16 and 24 are shown below.Prime factorization of 16: 2, 2, 2, 2Prime factorization of 24: 2, 2, 2, 3Using the prime factorizations, what is the greatest common factor of 16 and 24?

Maria found the least common multiple of 6 and 15. Her work is shown below. Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . .Multiples of 15: 15, 30, 45, 60, . . .The least common multiple is 60.What is Maria’s error?

What is the greatest common factor of 9 and 12?

What is the greatest common factor of 20 and 36?

Fresh produce is delivered to a restaurant every 4 days. Every 6 days, the restaurant receives a delivery of dried and canned goods. If the produce and dried and canned goods were delivered today, how many days will pass until they are all delivered to the restaurant on the same day again?

What is the least common multiple of 4 and 12?

On James’s MP3 player, he has 12 sad songs and 40 upbeat songs that he wants to put into playlists. He wants to have the same number of sad songs and upbeat songs in each playlist. What is the maximum number of playlists that he can create?