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6th grade LCM-GCF

Authored by Robert hicks

Mathematics

6th Grade

CCSS covered

Used 227+ times

6th grade LCM-GCF
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This quiz focuses on the fundamental number theory concepts of greatest common factor (GCF) and least common multiple (LCM), appropriate for 6th grade mathematics. Students work with finding the LCM of two or three numbers, determining the GCF of number pairs and sets, identifying factors and multiples, and applying these concepts to find common denominators for fractions. To successfully complete these problems, students must understand prime factorization, the relationship between factors and multiples, and be able to systematically find all factors of a given number. They need to distinguish between finding the largest shared factor versus the smallest shared multiple, and recognize that the GCF divides evenly into all given numbers while the LCM is divisible by all given numbers. The quiz also tests conceptual understanding by asking students to identify which numbers are or are not factors of given values. Created by Robert Hicks, a Mathematics teacher in the US who teaches grade 6. This quiz serves as an excellent tool for formative assessment, allowing teachers to gauge student understanding of these essential pre-algebra concepts before moving on to more complex topics involving rational numbers and algebraic thinking. Teachers can use this quiz as a warm-up activity to activate prior knowledge, as guided practice during instruction, or as homework to reinforce classroom learning. The variety of question formats, from straightforward computation to conceptual identification problems, makes it valuable for differentiated instruction and helps students prepare for standardized assessments. This assessment directly supports 6.NS.B.4, which requires students to find the greatest common factor and least common multiple of two whole numbers, and connects to fraction work outlined in 6.NS.A standards where common denominators are essential for operations with fractions.

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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the Least Common Multiple of 9 and 6

18
36
38
72

Tags

CCSS.6.NS.B.4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the Least Common Multiple (LCM) of 12 & 30

30
36
60
90

Tags

CCSS.6.NS.B.4

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Find the Least Common Multiple (LCM) of 12 & 18

36
48
60
72

Tags

CCSS.6.NS.B.4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the Least Common Multiple (LCM) of 2, 3 & 6.

2
6
12
24

Tags

CCSS.6.NS.B.4

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Find the Greatest Common Factor (GCF) of 12 & 27

1

3

9

12

Tags

CCSS.6.NS.B.4

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the Greatest Common Factor (GCF) OF 32 and 64.

1
2
4
32

Tags

CCSS.6.NS.B.4

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Find the Greatest Common Factor (GCF) of 60 and 75

1
3
5
15

Tags

CCSS.6.NS.B.4

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