Finding Common Factors and Multiples

This video tutorial covers Math 6 Unit 7 Lesson 18, focusing on using common multiples and factors. It includes activities like a rhythm game to understand common multiples, solving problems involving party supplies, tiling a bathroom, locker stickers, and assembling first aid kits. The lesson concludes with homework problems and mental math exercises.

In the rhythm game, if one person claps every second beat and another every third beat, when do they clap together?

• Every 3 beats

• Every 6 beats

• Every 2 beats

• Every 5 beats

Elena wants the same number of plates and cups for her party. If plates come in packs of 6 and cups in packs of 8, what is the smallest number of each she can buy?

• 12

• 48

• 24

• 36

For the tile problem, what is the greatest common factor of the bathroom dimensions 24 and 18?

• 12

• 6

• 3

• 2

If Lynn places a skateboard sticker every 4th locker and a kite sticker every 5th locker, which locker number will have both stickers?

• 30

• 25

• 20

• 15

How many first aid kits can the nurse make if she has 75 bandages and 90 lozenges, ensuring each kit has the same number of each?

• 3

• 5

• 15

• 25

May, Claire, and Noah are making signs. If May takes 6 minutes, Claire 8 minutes, and Noah 5 minutes per sign, when will May and Claire finish a sign at the same time?

• 30 minutes

• 18 minutes

• 24 minutes

• 12 minutes

What is the least common multiple of 12 and 8?

• 16

• 24

• 32

• 48

If Diego wants to make bags with 48 chocolate chip, 64 vanilla, and 100 raisin cookies, what is the greatest number of bags he can make without leftovers?

• 2

• 10

• 8

• 4

What is the product of the greatest common factor and the least common multiple of 12 and 8?

• 96

• 120

• 72

• 48

In the mental math exercise, what is the result of 37/2 minus 7/2?

• 15

• 10

• 25

• 20