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Multiples and Least Common Multiple 5th Grade Math CM2 FK1 Learning Objective I will be able to identify common multiples in a set of whole numbers and find the least common multiple Vocabulary Multiple – The product of the number and any whole number Multiples of 4: 4, 8, 12, 16, 20… Multiples of 5: 5, 10, 15, 20, 25, 30, 35… Meet the MULTIPLE MONSTERS… they like to make numbers BIGGER Vocabulary Common Multiples – A whole number that is a multiple of two or more numbers Vocabulary Least Common Multiple – The least multiple, other than 0, common to a set of multiples Watch the following video to find out how to find multiples of a number Multiples of 9 Try it… #1 Monster Fowlkes likes to eat only multiples of 4… what are the first five multiples of 4? 1 x 4= 4 2x4=8 3 x 4= 12 4 x 4= 16 5 x 4= 20 Answer: 4, 8, 12, 16, 20 Try it… #2 Monster Westmoreland likes to eat only multiples of 7… what are the first five multiples of 7? 1 x 7= 7 2 x 7 = 14 3 x 7= 21 4 x 7= 28 5 x 7= 35 Answer: 7, 14, 21, 28, 35 Try it… #3 Monster Cassner likes to eat only multiples of 3… what are the first five multiples of 3? 1 x 3= 3 2x3=6 3 x 3= 9 4 x 3= 12 5 x 3= 15 Answer: 3, 6, 9, 12, 15 Common Multiples To find common multiples of two numbers first list the multiples of each number: Example: 2- 2, 4, 6, 8,10, 12 3- 3, 6, 9, 12, 15, 18 Next, circle all the multiples that the two numbers have in common Answer: 6, 12 Try it… Common Multiples Find the common multiples of 2 and 7 2- 2, 4, 6, 8,10, 12, 14 7- 7, 14, 21, 28, 35, 42 Circle all the multiples that the two numbers have in common Answer: 14 Least Common Multiple To find the least common multiple of two whole numbers: – List the multiples of each number – Circle the common multiples – Identify the smallest (least) common multiple LCM #1 LCM #1 Answer LCM #2 Monster Petrillo loves to eat multiples of 2 and Monster Tripp loves to eat multiples of 3 What is the smallest number they would both want to eat? (Find the LCM) LCM #2 Answer Multiples of 2: 2, 4, 6, 8, 10, 12, 16, 18 Multiples of 3: 3, 6, 9, 12, 15, 18, 21 Common Multiples: 6, 12, 18 Least Common Multiple= 6 Review with the multiples rap… Review What was our learning objective? Define Multiple Define Common Multiple How do you find the Least Common Multiple?