LCM, GCF, Distributive Property

Give an example of using the Distributive Property: 3(4 + 5)

• 3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27

• 3(4 + 5) = 3*4 + 3*5 = 12 + 14 = 26

• 3(4 + 5) = 3*4 + 3*5 = 11 + 15 = 26

• 3(4 + 5) = 3*4 + 3*5 = 12 + 16 = 28

What is the LCM of two numbers?

• The LCM (Least Common Multiple) is the smallest number that is a multiple of two or more numbers.

• The LCM is the largest number that divides two or more numbers.

• The LCM is the sum of two numbers.

• The LCM is the difference between two numbers.

What are composite numbers?

• Numbers that have only two factors.

• Numbers that have more than two factors.

• Numbers that are only even.

• Numbers that are prime.

If two numbers are 12 and 18, what is their LCM?

• 24

• 30

• 36

• 42

What is the Distributive Property?

• The Distributive Property states that a(b + c) = ab + ac.

• The Distributive Property states that a + b = ab.

• The Distributive Property states that a(b - c) = ab - ac.

• The Distributive Property states that a(b + c) = a + b + c.

How do you find the LCM of two numbers?

• List the prime factors of each number and multiply them together.

• Add the two numbers together and divide by 2.

• List the multiples of each number and identify the smallest multiple they have in common.

• Subtract the smaller number from the larger number until you reach zero.

What is the GCF of two numbers?

• The smallest number that divides two or more numbers without leaving a remainder.

• The largest number that divides two or more numbers without leaving a remainder.

• The sum of two numbers divided by two.

• The product of two numbers divided by their sum.

If two numbers are 12 and 18, what is their GCF?

• 4

• 6

• 8

• 10

If Kendra has a math test every 12 days and a vocabulary test every 9 days, when will she have both tests again?

• 24 days

• 30 days

• 36 days

• 42 days

What is the relationship between GCF and LCM?

• The sum of GCF and LCM is equal to the sum of the two numbers.

• The product of the GCF and LCM of two numbers is equal to the product of the numbers themselves.

• GCF and LCM are always equal for any two numbers.

• The GCF is always greater than the LCM.