Grade 6 · Math

6th grade Greatest common factor, least common multiple worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Greatest common factor, least common multiple

Grade 6 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

Jun finds a hint in a book. Multiples of 4: 4, 8, 12, 16. Multiples of 6: 6, 12, 18. What is the least common multiple of 4 and 6?
Luz solves a number puzzle. Multiples of 3: 3, 6, 9, 12, 15. Multiples of 4: 4, 8, 12, 16. What is the least common multiple of 3 and 4?
Milo follows a map clue. Multiples of 4: 4, 8, 12, 16, 20, 24, 28. Multiples of 10: 10, 20, 30. What is the least common multiple of 4 and 10?
Zee finds a hint in a book. What is the least common multiple of 6 and 10?
Ari races the clock on a number puzzle. What is the least common multiple of 3 and 8?
Jun has 12 pencils and 28 erasers for the class. Jun puts them into identical supply bags with none left over. What is the greatest number of bags Jun can fill?
Pia factors a sum. The greatest common factor of 10 and 15 is 5. 10 + 15 = 5(2 + ). What number goes in the blank?
Tala factors a sum. The greatest common factor of 18 and 27 is 9. 18 + 27 = 9(2 + ). What number goes in the blank?
9.
Ari picks a card. Which expression is 18 + 30 with the greatest common factor taken out?
- 9(2 + 30)
- 2(9 + 15)
- 6(3 + 5)
10.
Bo picks a card. Which expression is 20 + 32 with the greatest common factor taken out?
- 4(5 + 8)
- 2(10 + 16)
- 5(4 + 32)

6th grade Greatest common factor, least common multiple worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Greatest common factor, least common multiple. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can list the factor pairs of two numbers and find the greatest factor they share.
I can list multiples of two numbers and find the first one they share.
I can write a sum like 36 + 8 as 4(9 + 2) by taking out the greatest common factor.

Standard: 6.NS.B.4

Words to know

factor: A number that divides another number with nothing left over. 3 is a factor of 12.

factor pair: Two factors that multiply to make a number. 3 × 4 is a pair for 12.

multiple: What you get when you multiply a number by 1, 2, 3 and so on.

common factor: A factor that two numbers share.

greatest common factor (GCF): The biggest factor that two numbers share.

least common multiple (LCM): The first multiple that two numbers share.

parentheses: Marks round a sum. In 4(9 + 2), the 4 multiplies the whole sum.

Common mistakes

Your child mixed up the greatest common factor with the least common multiple.

Your child multiplied the two numbers to get the least common multiple. Try listing the multiples of both numbers side by side and stopping at the first number that is in both lists.

Your child gave a common factor that is not the greatest one. Try listing all the factors of both numbers, circling the ones in both lists, and reading to the end of the list for the biggest.

What to say

Ask: which one do you find by counting up (multiples), and which one by splitting a number into factors?

Questions parents ask

What is the most common mistake with greatest common factor, least common multiple?

Your child mixed up the greatest common factor with the least common multiple.

How can I help my child with greatest common factor, least common multiple?

Ask: which one do you find by counting up (multiples), and which one by splitting a number into factors?

Are these 6th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 6 math

See all grade 6 math

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