GCF, LCM & Distributive Property (Grade 6)



Videos and lessons to help Grade 6 students learn to find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12.

Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. 
For example, express 36 + 8 as 4 (9 + 2).

Common Core: 6.NS.4

Suggested Learning Targets

  • I can find the greatest common factor and least common multiple.
  • I can use the distributive property for whole numbers with no common factor.
Related Topics:
Common Core for Grade 6

More Lessons for Grade 6

Component Skills from Previous Grades

3.OA.5
Apply properties of operations as strategies to multiply and divide.
For example, write 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)

Students should be comfortable with the concepts of addition, subtraction, multiplication, and/or division.


Greatest Common Factor (GCF)

Finding the GCF or Greatest Common Factor (6-NS-B-4)
Finding GCF or Greatest Common Factor by finding and comparing all the factors of two numbers.



6NS4-Greatest Common Factor Part 1
Factor Tree Method, List Method





6NS4-Greatest Common Factor Part 2
Factor Tree Method, List Method



Finding the GCF, Prime Factorization (6-NS-B-4)
This is a video of finding GCF by using the prime factorization method.





Finding the GCF using prime factorization



Least Common Multiple (LCM)

6NS4-Least Common Multiple





Prime Factorization to Find the LCM
Break down the numbers into factors of all primes, then take the highest power of each different prime number from both your prime factorizations. Multiply them together, and you've now got the LCM/LCD for your original numbers



GCF & Distributive Property

6NS4 Distributive Property







6NS4 Multiple of a Sum



Use the GCF and the Distributive Property to express the sum as a product







GCF and the Distributive Property
Step 1: Find the GCF of the 2 numbers
Step 2: Re-write using the distributive property




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