Finding Common Multiples and Groups

The video tutorial covers the concepts of least common multiple (LCM) and greatest common factor (GCF) through various practical examples. It includes activities like clapping beats, buying party supplies, tiling a floor, placing stickers on lockers, assembling first-aid kits, scheduling soccer games, grouping students for performances, and synchronizing blinking lights. Each scenario demonstrates how to find LCM or GCF to solve real-world problems.

What is the least common multiple of 2 and 3?

• 6

• 9

• 4

• 5

If cups are sold in packs of 8 and plates in packs of 6, how many packs of each should Anna buy to have an equal number of cups and plates?

• 3 packs of cups and 4 packs of plates

• 4 packs of cups and 3 packs of plates

• 2 packs of cups and 5 packs of plates

• 5 packs of cups and 2 packs of plates

What is the largest possible tile size that can be used to cover a 24x18 feet floor without cutting any tiles?

• 6 feet

• 3 feet

• 2 feet

• 4 feet

How many lockers will receive both types of stickers if one is placed every 4th locker and another every 5th locker?

• 20

• 15

• 25

• 10

What is the greatest number of first-aid kits that can be made if each must contain the same number of bandages and lozenges?

• 15

• 12

• 18

• 10

On which day in August will both J-Joe and Aundrea have a soccer game if J-Joe plays every 3rd day and Aundrea every 4th day?

• August 6

• August 9

• August 12

• August 15

What is the largest number of identical groups that can be formed with 32 elementary and 40 middle school students?

• 5

• 4

• 8

• 10

How often will all three lights blink together if they blink every 24 seconds?

• Every 24 seconds

• Every 36 seconds

• Every 12 seconds

• Every 48 seconds

If a dancer is the 30th in line, which accessory will they wear if accessories are given based on multiples of 3, 5, and 9?

• None

• Gloves

• Belt

• Headband

How many white gloves are needed if there are 48 dancers and gloves are given based on multiples of 9?

• 4

• 5

• 6

• 7