Chapter 7.3 Least Common Multiple and Greatest Common Factor

Chapter 7.3Least Common Multiple and

Greatest Common Factor

MATRIX Grant Project TatianaJenny607

Directions

To find LMC you have to list all of the multiples of the numbers and find the smallest number that they both have.Another way to find the LCM is to write the prime factorizations then write a multiplication problem using all prime factors once. Then for each factor write the greatest exponent used with that factor in any of the prime factorizations. Last multiply.How to find the GFC list all the factors of each number find the common factors and then find the greatest common factors.

Examples

How To Find The LCM 6:6 12 18 24 30 36 42 48 54 60 66 72 3:3 6 9 12 15 18 21 24 27 30 33 36 39 9:9 18 27 36 45 54 63 72 81 90 99 108 The LCM For 6,3,and 9 is 18

Another way to find the LCM is: 6 12 18 6=2x3 / \ / \ / \ 12=2x2x3 2 3 2 6 3 6 18=2x3x3 / \ / \ it’s 2x3 2 3 2 3

How to find the GFC 8:1 2 4 8 12:1 2 3 4 6 12 The common factors are 1,2,4 The GCF of 8 and 12 is 4

Problems to solve

List the first 7 multiples

Find the LCM of the 2 numbers

Find the GFC of the 2 numbers

1) 12

2) 4

3) 5

4) 14

5) 18

6) 9

6) 10,20

7) 9,7

8) 12,18

9) 15,30

10) 5,6

11) 3,9

12) 21,7

13) 48,72

14) 12,36

15) 6,18

http://www.toonuniversity.com/flash.asp?err=499&engine=14

In this game 2 numbers are going to appear on the screen. You are supposed to find the LCM and GFC for both numbers

Just like the examples