Least Common Multiple 6.1.1.6 Determine greatest common factors and least common multiples. Use common factors and common multiples to calculate with fractions and find equivalent fractions.

I can… Find the least common multiple of 2 or more numbers Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

Product The answer to a multiplication problem. 6 X 6 = 36

What is the product? 7 X 8 = 56

What is the product? 8 X 9 = 72

Some multiples of 6 6, 12, 18, 24, 30, 36, 42 Multiple The product of a whole number multiplied times any other whole number. (SKIP COUNTING) Some multiples of 6 6, 12, 18, 24, 30, 36, 42

Name some multiples of 5 5, 10, 15, 20, 25, 30, 35

Name some multiples of 7 7, 14, 21, 28, 35, 42, 49

Name some multiples of 4 4, 8, 12, 16, 20, 24, 28

Name some multiples of 9 9, 18, 27, 36, 45, 54, 63

Some multiples of 3 & 6 6, 12, 18, 24, 30, 36, 42 Common Multiple A multiple that is shared between two or more numbers. Some multiples of 3 & 6 6, 12, 18, 24, 30, 36, 42

What are some Common Multiples for 2 & 8? 8, 16, 24, 32, 40, 48, 56

What are some Common Multiples for 4 & 6? 12, 24, 36, 48, 56, 60

What are some Common Multiples for 3 & 7? 21, 42, 63

What are some Common Multiples for 5 & 10? 10, 20, 30, 40, 50, 60

Least Common Multiple The smallest common multiple of a set of two or more numbers. 5 = 5, 10, 15, 20, 25, 30 6 = 6, 12, 18, 24, 30, 36

3 Methods to find LCM Multiple List Factor Tree Upside Down Cake Method

What is the Least Common Multiple of 3 & 8 Multiple List 3 = 3, 6, 9, 12, 15, 21, 24 8 = 8, 16, 24, 32, 40, 48

Factor Tree Multiply together the prime factors. Use each prime factor the greatest number of times it is a factor of any of the numbers. 8 3 2 x 4 1 x 3 2 x 2 x 2 1 x 2 x 2 x 2 x 3 = 24

Upside Down Cake Method 3 8 1 3 8 1 x 3 x 8 = 24

What is the Least Common Multiple of 4 & 8 42 = 42, 84, 126, 168, 210, 253, 294, 336, 378, 420 60 = 60, 120, 180, 240, 300, 360, 420

Factor Tree Be sure to circle the factors that are share by both numbers so that you don’t over multiply!!!!!! 42 60 2 x 30 2 x 21 2 x 3 x 7 2 x 2 x 15 2 x 2 x 3 x 5 2 x 3 x 7 x 2 x 5 = 420

Upside Down Cake Method 42 60 6 7 10 6 x 7 x 10 = 420

What is the Least Common Multiple of 6 & 8 6 = 6, 12, 18, 24, 30, 36 8 = 8, 16, 24, 32, 40, 48

Factor Tree Be sure to circle the factors that are share by both numbers so that you don’t over multiply!!!!!! 8 6 2 x 4 2 x 3 2 x 2 x 2 2 x 2 x 2 x 3 = 24

Upside Down Cake Method 6 8 2 3 4 2 x 3 x 4 = 24

What is the Least Common Multiple of 50 & 90 50 = 50, 100, 150, 200, 250, 300, 350, 400, 450 90 = 90, 180, 270, 360, 450

Factor Tree Be sure to circle the factors that are share by both numbers so that you don’t over multiply!!!!!! 50 90 2 x 45 2 x 25 2 x 5 x 5 2 x 3 x 15 2 x 3 x 3 x 5 2 x 5 x 5 x 3 x 3 = 450

Upside Down Cake Method 5 50 90 2 10 18 5 9 5 x 2 x 5 x 9 = 450

Your Turn… Find the LCM of 8 and 12 method) 24

Your Turn… Find the LCM of 8 and 14method) 56

I can… Find the least common multiple of 2 or more numbers Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

in your math notebook Daily Check 5.4 Find the LCM for each pair of numbers 9 and 15 16 and 20 70 and 175?