1. L e a s t C o m m o n M u l t I p l e

2. Multiple What is a ? The product you get when a
number is multiplied by another
number.
Example:
Multiples of 6 – 6, 12, 18, 24, 30,...
(6 x 1) (6 x 2) (6 x 3) (6 x 4) (6 x 5)
(9 x 1) (9 x 2) (9 x 3) (9 x 4) (9 x 5)
Multiples of , 18, 27, 36, 45,...

3. How many total squares are pictured??16 12
Multiples of 4 are 4, 8, 12, 16….. 8 4

4. Smallest multiple they both have. 6 6, 12, 18, 24, 30, 36 LCM = 24 8
Let’s put
LEAST COMMON MULTIPLE
in our own words
Smallest
multiple
they both have.
Example: 6
6, 12, 18, 24, 30, 36
LCM = 24 8
8, 16, 24, 32, 40, 48

5. Why don’t we try a couple together!4
4, 8, 12, 16, 20, 24
LCM = 20 10
10, 20, 30, 40, 50, 60 12
12, 24, 36, 48, 60
LCM = 36 9
9, 18, 27, 36, 45

6. Let’s use repeated division!
There is another way!!
Let’s use repeated division!

7. Find the LCM of 20 and 30. METHOD 2 Repeated Division 10 20 30
10 ● 2 ● 3 = 60
The Least Common Multiple (LCM) is 60

8. Find the LCM of 4 and 10. METHOD 2 Repeated Division 2 4 10
2 ● 2 ● 5 = 20
The Least Common Multiple (LCM) is 20

9. Find the LCM of 12 and 18. METHOD 2 Repeated Division 2 12 18
2 ● 3 ● 2 ● 3 = 36 3
The Least Common Multiple (LCM) is 36

10. What if there are 3 numbers?
Find the LCM of 4,6,and 8 4
4, 8, 12, 16, 20, 24 6
6, 12, 18, 24, 30, 36 8
8, 16, 24, 32, 40, 48
LCM = 24

11. Find the LCM of 4, 6 and 8. METHOD 2 Repeated Division 2 4 6 8
**Keep dividing until all bottom numbers are only divisible by one** 2
2 ● 2 ● 1 ● 3 ● 2 = 24 2
Just bring down the number that is not being divided
The Least Common Multiple (LCM) is 24

12. Find the LCM of 4, 6 and 12. METHOD 2 Repeated Division 2 4 6 12
**Keep dividing until all bottom numbers are only divisible by one** 2
2 ● 3 ● 2 ● 1 ● 1 ● 1 = 12 3
Just bring down the number that is not being divided 2
The Least Common Multiple (LCM) is 12

13. ASSIGNMENT!
Finding the LCM WS
Yeah! Try your best!
You can do it!!

26. It's your turn !!! 7
7, 14, 21, 28, 35, 42 4
4, 8, 12, 16, 20, 24
, 28, 32, 36
LCM = 28 20
20, 40, 60, 80, 100
LCM = 60 30
30, 60, 90, 120, 150