LCM & GCF

While performing a piece of music, Shivani strikes the cymbals every 18 beats and the triangle is every 11 beats. If she just struck both at the same time, how many beats will pass before she again strikes them at the same time?

• 151

• 198

• 216

• 252

Evan is buying two types of paper clips at a local office supply store. The first type comes in packages of 10, whereas the second comes only in packages of 15. If Evan needs to purchase the same number of each type of paper clip, what is the SMALLEST number of each type that he must buy?

• 60

• 90

• 30

• 120

At a school event, adults are seated in groups of exactly 8 and children are seated in groups of exactly 5. If there are the same number of adults as children, what is the MINIMUM number of adults attending?

• 40

• 20

• 10

• 80

Boone County and Carroll County are gathering groups of runners to run a relay race. Boone County recruits runners in groups of 16 while Carroll County recruits runners in groups of 2. If both counties end up with the same number of runners, what is the SMALLEST number of runners each must have recruited?

• 18

• 16

• 64

• 32

Zachary is creating sewing kits for local secondary school students who are heading off to university. He has 15 needles and 18 spools of thread, which he wants to divide evenly, with no materials left over. What is the GREATEST number of sewing kits Zachary can make?

• 5

• 3

• 90

• 18

Clayton's Blossoms sells roses in groups of 15. Across town, Ian's Blooms sells roses in groups of 4. If a customer wants to buy the same number of roses from both vendors, what is the SMALLEST number of roses the customer will have to buy from each vendor?

• 60

• 19

• 4

• 420

Doug is posting 16 flyers for the science club and 12 for the music club. He wants to make all the locations identical, with the same combination of science club flyers and music club flyers. In addition, he wants to make sure that no flyers are left over. What is the GREATEST number of locations that Doug can post at?

• 3

• 4

• 16

• 20

I am a number divisible by 3,4,5 and 6. What is the SMALLEST number I could be?

• 30

• 60

• 90

• 120

Julia buys new shirts every 2 months and new jeans every 6 months. How many times a year does she buy a shirt and new jeans in the same month?

• 2 times

• 3 times

• 4 times

• 6 times

Kiara is making stationery sets from 20 sheets of paper and 14 envelopes. If she wants all the sets to be identical without any paper or envelopes left over, what is the GREATEST number of sets Kiara can make?

• 4

• 6

• 2

• 7