G6 L63 Least Common Multiple

G6 L63 Least Common Multiple

FACTOR VS MULTIPLE

• What is a factor?

• What are the factors of 10?

• Are factors generally larger or smaller than the number?

• What is a GCF?

• What is a multiple?Are multiples generally larger or smaller than the number?

• What are the multiples of 10?

• What is an LCM?

Multiple Choice

TRUE or FALSE?

A FACTOR is greater than the number you are factoring

• TRUE

• FALSE

Multiple Choice

List the first 5 MULTIPLES of 3

• 3, 6 10, 15, 20

• 1, 3, 2, 6, 4

• 3, 6, 9, 12, 15

• 6, 9, 12, 15, 18

Multiple Choice

What are all of the factors of 15?

• 1,3,5,15

• 5,15

• 1,15

• 1,5

Prime Factorization

• What is prime factorization?

• Find the prime factorization of 30 and 45.

• How is prime factorization helpful for finding the GCF or the LCM of numbers?

• Find the GCF of 30 and 45.

• Is the GCF larger or smaller than the numbers?

• Find the LCM of 30 and 45.

• Is the LCM greater or smaller than 30 and 45?

Multiple Choice

Find the prime factorization of 8

• 2x4; 2x4

• 2x2x2; 2³

• 1x8; 1⁸

Multiple Choice

Find the prime factorization of 20

• 4x5; 4¹x5¹

• 2x2x2x2x2; 2⁵

• 2x2x5; 2²x5

Multiple Choice

Find the GCF of 8 and 20

• 8

• 40

• 4

• 10

Multiple Choice

Find the LCM of 8 and 20

• 8

• 4

• 40

• 160

Least Common Multiple (LCM)

• The smallest number that is a MULTIPLE of two or more numbers.

• To find the LCM, find the prime factorization of each number using exponents.

• List all the prime factors. If a the numbers share a prime factor, use the one with the greater power.

• Find the LCM of 45 and 60.

• 
  

• 
  

Least Common Denominator

• The LCM can used to find the LCD (least common denominator) of two fractions.

• Rewrite 1/9 and 1/15 using the least common denominator.

• To add, subtract, or compare fractions, you MUST have a common denominator!

• Rewrite using a common denominator: 1/2 and 2/3

• Rewrite using a common denominator: 1/2, 7/8, and 1/6

Multiple Choice

What is the least common denominator of 6/8 and 4/12?

• 12
• 24
• 8
• 16

Multiple Choice

What is the least common denominator of 1/9 and 2/3?

• 6

• 3

• 9

• 21

Multiple Choice

What is the least common denominator of 1/7 and 3/6?

• 14
• 21
• 7
• 42

Multiple Choice

• 2
• 4
• 1
• 3

Multiple Choice

• 6/9
• 6/6
• 9/9
• 2/3

Multiple Choice

Which fraction is equivalent to

2/3 ?

• 1/9

• 4/9

• 6/9

• 7/9

Multiple Choice

What do you call an two fractions that represent the same amount?

• Equivalent  fractions
• Mixed fraction
• Improper fractions
• Denominator

Multiple Choice

The number on the bottom of a fraction is called what?

• numerator
• denominator
• equivalent
• improper

Multiple Choice

What is the number on the top of a fraction is called?

• numerator
• denominator
• fractionator
• equivalent

Multiple Choice

Which of the following is an equivalent fraction to 5/6?

• 9/12

• 10/12

• 8/12

• 14/18

Multiple Choice

Complete the equivalent fraction.

• 6

• 9

• 15

• 23