4.4 and 4.7 LCM and GCF - Ms. Sampson's Class...

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4.4 and 4.7 LCM and GCF 5 th Grade Math

Transcript of 4.4 and 4.7 LCM and GCF - Ms. Sampson's Class...

4.4 and 4.7 LCM and GCF

5th Grade Math

8

Factors of 8 Factor Pairs

8

Factors of 8 Factor Pairs

1, 2, 4, 8

12

Factors of 12 Factor Pairs

12

Factors of 12

1, 2, 3, 4, 6, 12

Greatest Common Factor

There are two methods you can use to find the Greatest Common Factor. They are:

•  Listing

•  Prime Factorization

Greatest Common Factor: Listing

•  Step one: List all factors of both numbers

•  Step two: Find the one that is greatest!

Find the GCF of 12 and 8:

12:

8:

Greatest Common Factor: Listing

•  Step one: List all factors of both numbers

•  Step two: Find the one that is greatest!

Find the GCF of 12 and 8:

12: 1, 2, 3, 4, 6, 12

8: 1, 2, 4, 8

GCF = 4

Greatest Common Factor: Listing

Find the GCF of 16 and 24:

16:

24:

Greatest Common Factor: Listing

Find the GCF of 16 and 24:

16: 1, 2, 4, 8, 16

24: 1, 2, 3, 4, 6, 8, 12, 24

GCF= 8

Greatest Common Factor: Listing

Find the GCF of 32 and 40

32:

40:

Greatest Common Factor: Listing

Find the GCF of 32 and 40

32: 1, 2, 4, 8, 16, 32

40: 1, 2, 4, 5, 8, 10, 20, 40

GCF = 8

Least Common Multiple

•  Find the LCM of 4 and 6

4:

6:

Least Common Multiple

•  Find the LCM of 4 and 6

4: 4, 8, 12, 16, 20, 24

6: 6, 12

LCM = 12

Least Common Multiple

Find the LCM of 8 and 5

8:

5:

Least Common Multiple

Find the LCM of 8 and 5

8: 8, 16, 24, 32, 40, 48, 56

5: 5, 10, 15, 20, 25, 30, 35, 40

LCM = 40

Least Common Multiple

Find the LCM of 24 and 6

24:

6:

Least Common Multiple

Find the LCM of 24 and 6

24: 24, 48

6: 6, 12, 18, 24

Other Notes

Multiples are Many; Factors are Few