LCM
GCF
Rules of Divisiblity
Prime Factorization
Distributive Property/Factoring Out GCF
100

The LCM of 25 and 40.

What is 200?

100

The GCF of 60 and 25.

What is 5?

100

What numbers is 555 divible by?


2,3,4,5,6,9,10

What is 3 and 5?

100
Write the prime factorization for 68
2 x 2 x 17
100

3 (4 + 5)

12 + 15

200
Find the LCM of 8 and 12
24
200

The GCF of 18 and 27.

What is 9?

200

What numbers is 9,252 divisible by?


2,3,4,5,6,9,10

What is 2,3,4,6,9?

200
Write the prime factorization for 88
2 x 2 x 2 x 11
200

3 (9 x 7)

27 + 21
300

The LCM of 16 and 32.

What is 32?

300

The GCF of 26 and 65.

What is 13?

300

What numbers is 71 divible by?

None, it is prime

300
Write the Prime Factorization for 36
2 x 2 x 3 x 3
300
42 + 26
2x(21+13)
400

Kelly has swimming lessons every fifth day and diving lessons every third day.  If she had a swimming lesson and a diving lesson on May 5, when will be the next date on which she has both swimming and diving lessons?

What is May 20?

400

There are 40 girls and 32 boys who want to participate in 6th grade math tournament.  If each team must have the same number of girls and the same number of boys, what is the greatest number of teams that can participate in the math tournament?

How many teams will there be?

How many boys and girls will be on each?

What is GCF: 8 teams?


5 girls and 4 boys on each team

400

What numbers is 3,450 divisible by?


2,3,4,5,6,9,10

What is 2, 3, 6 and 10?
400
Write the Prime Factorization for 52
2 x 2 x 13
400
6 + 22
2x(3+11)
500

Beginning at 8:30 A.M., tours of the Kennedy Space Center and the Wild Life Bird Sanctuary begin at a tour agency. Tours for the Kennedy Space Center leave every 15 minutes. Tours for the Wild Life Bird Sanctuary every 20 minutes. 


How often do the tours leave at the same time?

LCM: 60 minutes

500

Jenifer baked 30 brownies and 48 cookies to package in plastic containers for her friends at school.  She wants to divide the brownies and cookies into identical containers so that each container has the same number brownies and cookies.


 If she wants each container to have the greatest number of brownies and cookies possible, how many plastic containers does she need?  


How many brownies will be in each container? 

How many cookies will be in each container?

GCF:  6 Containers


How many brownies will be in each container? 5

How many cookies will be in each container? 8

500

What number would make this number divisible by both 5 and 3?


45,67_

What is 5?

500
Write the Prime Factorization for 28
2 x 2 x 7
500
12 + 16
4x(3+4)