Find the LCM

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Goal: Finding the LCM of 2 or more numbers

description

Find the LCM. Goal: Finding the LCM of 2 or more numbers. Least Common Multiples. - PowerPoint PPT Presentation

Transcript of Find the LCM

Goal: Finding the LCM of 2 or more numbers

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?

1st List the multiples of both numbers.

4: 4, 8,12,16, 20, 24, 286: 6,12,18, 24

2nd look for the smallest number they both have (LCM). 12

3RD Evaluate: to get 12 tacos I need to buy how many

packages? 2 packages of tacos

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?

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

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?

Goal: Find the LCM of 2 or more numbers

36 pencils needed

Goal: Find the LCM of 2 or more numbers

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43

2

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

Homework:

Worksheet:Numbers: -

Goal: Find the LCM of 2 or more numbers