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Find the LCM

Find the LCM. Goal: Finding the LCM of 2 or more numbers. Least Common Multiples.

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Find the LCM

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  1. Find the LCM Goal: Finding the LCM of 2 or more numbers

  2. 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?

  3. 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

  4. 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

  5. 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

  6. Review 1 2 3 4 Goal: Find the LCM of 2 or more numbers

  7. 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

  8. Think:Explain how LCM and GCF are different • Homework: Worksheet: Numbers: - Goal: Find the LCM of 2 or more numbers

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