Find the LCM

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## Find the LCM

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**Find the LCM**Goal: Finding the LCM of 2 or more numbers**Least Common Multiples**Goal: Find the LCM of 2 or more numbers You and your three friends go to lunch and find a deal on packages of 6 tacos. You want to buy the minimum number of packages so you each get the same number of tacos and none are left over. How many packages must you buy?**How do we find LCMcopy steps**1stList the multiples of both numbers. 4: 4, 8,12,16, 20, 24, 28 6: 6,12,18, 24 2nd look for the smallest number they both have (LCM). 12 3RDEvaluate: to get 12 tacos I need to buy how many packages? 2 packages of tacos You and your three friends go to lunch and find a deal on packages of 6 tacos. You want to buy the minimum number of packages so you each get the same number of tacos and none are left over. How many packages must you buy? Goal: Find the LCM of 2 or more numbers**You TryExample 2 Copy**• List Multiples of 8 and 6 • 8: 8, 16, 24, 32, 40 • 6: 6, 12, 18, 24, 30 • Evaluate: It will take 24 minutes for both joggers to arrive at their starting point together. • One trip around a running track is 440 yards. One jogger can complete one lap in 8 minutes, the other can complete it in 6 minutes.How long will it take for both joggers to arrive at their starting point together if they start at the same time and maintain their jogging pace? Goal: Find the LCM of 2 or more numbers**Challenge: Solve on your own send your answer via clicker**(number only) • You can make groups of 3, 4, or 9 pencils with none left over. What is smallest number of pencils you must have to make these groups? 36 pencils needed Goal: Find the LCM of 2 or more numbers**Review**1 2 3 4 Goal: Find the LCM of 2 or more numbers**What is the GCF and LCM of 4, 6, and 12**• GCF of 4, 6, and 12 • 4: 1,2,4 • 6: 1,2,3,6 • 12: 1,2,3,4,6,12 • The GCF is 2 • LCM of 4,6 and 12 • 4: 4,8,12,16,20,24 • 6: 6,12,18,24 • 12: 12,24 • The LCM is 12 Goal: Find the LCM of 2 or more numbers**Think:Explain how LCM and GCF are different**• Homework: Worksheet: Numbers: - Goal: Find the LCM of 2 or more numbers