5 Least Common Multiple

10
Checking of Assignment

description

LCM ppt

Transcript of 5 Least Common Multiple

Page 1: 5 Least Common Multiple

Checking of Assignment

Page 2: 5 Least Common Multiple

Drill: Give the greatest common factors of each of the following:

–16–32

»28»42

• 55• 99

• 36• 48

Page 3: 5 Least Common Multiple

Sing the song…

• What is the song all about?• Do you have friends? Who

are they?• What are the things you do

together?

Page 4: 5 Least Common Multiple

Problem Opener:

• Linda wants to buy her friends different kinds of candies. One type of candies is sold in packages of 6 pieces, other of 4 pieces and the third type in packages of 3 pieces. If Linda wants to buy the same amount for each type of candy, what is the smallest number of packages of candy that she can buy?

Page 5: 5 Least Common Multiple

Using Listing the Multiples and Prime Factorization

Page 6: 5 Least Common Multiple

•What is multiple? •How do we get the least common multiple of a set of numbers?

Page 7: 5 Least Common Multiple

Multiple

• A multiple of a number is the product of that number and any other whole number.– 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60…– 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120…

LCM = 12

Page 8: 5 Least Common Multiple

Find the LCM by listing the multiples:

• 21 and 15• 12 and 10• 16 and 20• 4 and 9• 15 and 35• 8, 12 and 20

Page 9: 5 Least Common Multiple

Determine the LCM of the following:

a. 10 and 25

b. 20 and 50

c. 42 and 48

d. 20 and 45

e. 24 and 18

Page 10: 5 Least Common Multiple

Write the GCF and LCM of each set of numbers use prime factorization.

1. 15 and 30 GCF= ____ LCM=____

2. 21 and 45 GCF= ____ LCM=____

3. 16 and 24 GCF= ____ LCM=____

4. 12 and 32 GCF= ____ LCM=____

5. 8 and 12 GCF= ____ LCM=____