LCM GCF Ladder

Topic 3 Review Order of Operations, Prime Factors, GCF, and LCM

by Karen Martin

Multiple Choice

$$3^3\ =$$  

• 9

• 27

• 18

• 81

Multiple Choice

$$25^0\ =$$  

• 25

• 0

• 1

• 250

Multiple Choice

$$5^2\ =$$  

• 10

• 5

• 20

• 25

Multiple Choice

$$4^2\ \ \ \ \ \ \ \ \ \ 2^4$$  

• <

• >

• =

Multiple Choice

Compare:

5² 2⁵

• >

• <

• =

​Remember anything to the zero power = 1

​And anything to the power of one = itself

Multiple Choice

$$72^0\ \ \ \ \ \ \ \ \ \ \ 45^{1\ \ \ \ \ }$$  

• <

• >

• =

Multiple Choice

$$5^2\ \ \ \ \ \ \ \ \ \ 2^3$$  

• <

• >

• =

​Use factor trees to find the prime factorization of a number.

​

​36 = 2 • 2 • 3 • 3

​or

​36 = 2² • 3²

Multiple Choice

What is the prime factorization of 84?

• 2 • 2 • 3 • 7

• 4 • 21

• 2 • 3 • 7

• 2 • 6 • 7

Multiple Choice

What is the prime factorization of 45?

• 1 • 3 • 3 • 5

• 9 • 5

• 3 • 3 • 5

• 3 • 15

​Use division ladders to find the GCF and LCM

​

GCF = greatest common factor

​the biggest number that can divide

into them evenly

​

LCM = least common multiple

​The smallest number that is a multiple

​of the numbers. The original numbers

​are factors of the LCM.

Multiple Choice

Find the GCF of 48 and 60.

• 4

• 12

• 6

• 22

Multiple Choice

Find the GCF of 81 and 54.

• 27

• 3

• 9

• 18

​Factor out the GCF with the Distributive Property

Multiple Choice

Use GCF and the Distributive Property to write the FACTORED form of 81 + 18

• 3(9 + 6)

• 18(7 + 1)

• 9(9 +2)

Multiple Choice

Use GCF and the Distributive Property to write the FACTORED form of 44 + 77

• 11(4 + 7)

• 4 + 7(11)

• 11(4 +3)

Multiple Choice

Use GCF and the Distributive Property to write the FACTORED form of 30 + 45

• 15(2 + 3)

• 5(30 + 45)

• 5(6 + 8)

Multiple Choice

Find the LCM of 6 and 21

• 21

• 126

• 42

• 3

Multiple Choice

Find the LCM of 15 and 20.

• 5

• 60

• 300

• 30

​Follow the Order of Operations

Fill in the Blanks

Use the Order of Operations to simplify.

$\left(3\ +1^4\ \ \right)\div4$  

Fill in the Blanks

Use the Order of Operations to simplify.

$\left(5\ +4\right)^2\ -1$  

Fill in the Blanks

Use the Order of Operations to simplify.

$14-\ 5\times\frac{1}{5}+3.8$  

Fill in the Blanks

Use the Order of Operations to simplify.

$25\ -\ 2^3\div4\ \cdot5$  

Fill in the Blanks

Use the Order of Operations to simplify.

$\left[5^2+\left(26\div2\right)\right]+7$  

Fill in the Blanks

Use the Order of Operations to simplify.

$5^2-0.2\ \cdot\ \left(8\ +\ 12\right)\ \cdot\frac{1}{2}$  

Fill in the Blanks

In Mrs. Flynn’s 6th grade choir there are 48 girls and 64 boys.  She plans to arrange the students in equal groups with the same number of boys and girls in each group.  What is the greatest number of groups she could make?

Fill in the Blanks

Whole Foods bakery sells muffins in packs of 9 and cookies in packs of 12.  They sold the same number of muffins and cookies yesterday.  What is the smallest number of each that Whole Foods could have sold?

Fill in the Blanks

During a game, Marshawn eats a red skittle every 3 minutes. a green skittle every 5 minutes and a yellow skittle every 6 minutes. How often does he eat all three at the same time? (no label)

Please practice more on your own. Use your notes. Good Luck!