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6.PAR.6.2 GCF and LCM

6.PAR.6.2 GCF and LCM

Assessment

Presentation

Mathematics

6th Grade

Hard

CCSS
4.OA.B.4, 3.OA.A.4, 7.EE.A.1

Standards-aligned

Created by

Vanesha Herbert

Used 2+ times

FREE Resource

10 Slides • 10 Questions

1

GCF and LCM

6.PAR.6.2 Determine the greatest common factors and least common multiples using various strategies to make sense of applicable problems.


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2

What are factors?

  • Numbers that you multiply together to make a product

  • Products are answers to multiplication problems.

  • 3 and 5 are factors of 15 because 3 x 5 =15

  • 15 is the product of the FACTORS 3 and 5.

3

Multiple Choice

What are all of the factors of 12?

1

1 and 12

2

1, 2, 3, 4, & 6

3

1, 2, 3, 4, 6, & 12

4

1, 2, 3, 4, 6, 10, & 12

5

12, 24, 36, 48, 72 , 84...

4

Greatest Common Factor (GCF)

  • The greatest shared factor between two numbers.

  • You can use prime factorization as a strategy to find the GCF of 2 numbers.

  • The GCF of two numbers will always be the smaller of the two numbers or less

5

Multiple Choice

What is the Greatest Common Factor of 12 and 18?

1

1

2

3

3

6

4

8

6

Multiple Choice

Which pair of numbers has a GCF of 8?

1

8, 36

2

40, 80

3

16, 56

4

24, 42

7

What are Prime numbers?

  • Whole numbers greater than 1 that only have two factors, 1 and itself

  • Prime numbers are only divisible by 1 or itself

  • Example: 2 is prime because the only two factors are 1 and 2, (1 x 2 = 2): 11 is prime number because the only two factors are 1 and 11 (1 x11=11).

  • Can you list the first 10 prime numbers?

8

Multiple Select

Select all of the numbers that are prime numbers

1

15

2

7

3

9

4

2

5

13

9

Composite Numbers

  • Whole numbers greater than 1 that are not prime numbers.

  • Composite numbers have more than 2 factors.

  • 4 is a composite number because it's factors are 1, 2, and 4.

10

​Least Common Multiple (LCM)

  • ​To find the LCM you are looking for the smallest common skip number

  • ​You typically look for the key words: same time

  • ​Example: LCM of 8 and 5

  • ​8: 8, 16, 24, 32, 40, 48

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

  • ​LCM = 40

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11

Multiple Choice

multiples for the number 3 include..
1
4,8,12,16,18,21
2
3,5,7,9,10,12
3
3,4,5,6,7,8
4
3,6,9,12,15,18

12

Multiple Choice

Find the LCM of 4 and 9

1

4

2

9

3

13

4

36

13

Prime Factorization

  • Can be used to find the GCF and LCM of two numbers.

  • Find all of the prime factors of a given number

  • There is only one prime factorization of any number.

14

To find the prime factorization:

  1. Divide the number by the first prime number possible.

  1. Circle the prime number, and continue with the other factor.

  2. Divide the new factor by a prime number.

  3. Continue this process until the only numbers you have left are prime numbers.

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15

15 is a composite number.

It can be written as a product of primes: 3 x 5

Some text here about the topic of discussion

​Example

16

Multiple Choice

What is the missing factor?


4 x _____ = 28

1

12

2

6

3

7

4

9

17

Multiple Choice

Use a number tree to find the prime factorization of 60

1

5 x 3 x 2 x 2

2

7 x 6 x 5

18

Multiple Choice

Use a number tree to find the prime factorization of 42

1

4 x 4 x 3

2

7 x 3 x 2

19

Distributive Property:  Multiplying a number by a sum or difference is the same as multiplying by each number in the sum or difference and then adding or subtracting. (Rainbow Connection!)

Example:  6(2+4)= 6(2) + 6(4)     8(5-3) = 8(5)-8(3)


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20

Fill in the Blank

Write an equivalent expression for 18 + 27 by factoring out the GCF.

GCF and LCM

6.PAR.6.2 Determine the greatest common factors and least common multiples using various strategies to make sense of applicable problems.


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