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Grade 6 Math · Least Common Multiple

Grade 6 Least Common Multiple Practice Test

Build Grade 6 Math skills with five 10-question practice tests on multiples, prime factorization, least common multiple, repeating schedules, and synchronization problems.

Least Common Multiple Practice Tests

These Grade 6 Math practice tests help students find the smallest positive multiple shared by two or more numbers. Students practice listing multiples, prime factorization, repeating schedules, synchronization, common denominators, and real-world timing problems involving lights, buses, reminders, machines, and events.

Skills covered

  • Listing multiples and identifying common multiples
  • Finding the least common multiple by lists and prime factorization
  • Using the greatest exponent of each prime factor
  • Distinguishing LCM from GCF and factors from multiples
  • Checking whether a proposed value is the least positive common multiple
  • Solving repeating-event and synchronization problems
  • Connecting LCM reasoning to common denominators and real-world schedules

How to use these practice tests

List the first few multiples when the numbers are small. For larger numbers, write prime factorizations and use every prime with the greatest exponent appearing in any factorization. In schedule problems, identify the first time or step when all repeating events occur together and verify it by division.

For more Grade 6 Math practice, return to the Grade 6 Math category.

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Grade 6 Least Common Multiple Practice Tests

A 10-question Grade 6 Math practice test on multiples, common multiples, prime factorization, least common multiple, schedules, and synchronization problems.

List multiples or use prime factorization, identify the first positive shared multiple, and check that it is divisible by every number.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

A store restocks one item every 6 days and another every 8 days. After how many days will both be restocked?

Please select an answer first.

Correct answer: A

The correct answer is 2424 days.

  1. List the multiples: Write multiples of each number or use prime factorization.
  2. Find the first shared multiple: LCM(6,8)=24LCM(6,8) = 24 days.
  3. Check the result: Verify that the answer is divisible by every number and that no smaller positive common multiple works.

LCM(6,8)=24LCM(6,8) = 24 days.

2. QuestionMultiple choice

Two teams practice every 5 days and every 10 days. After how many days will practices occur together?

Please select an answer first.

Correct answer: B

The correct answer is 1010 days.

  1. List the multiples: Write multiples of each number or use prime factorization.
  2. Find the first shared multiple: Because 10 is already a multiple of 5, LCM(5,10)=10LCM(5,10) = 10.
  3. Check the result: Verify that the answer is divisible by every number and that no smaller positive common multiple works.

Because 10 is already a multiple of 5, LCM(5,10)=10LCM(5,10) = 10.

3. QuestionMultiple choice

Signs are replaced every 9 months and lights every 12 months. When will both be replaced in the same month?

Please select an answer first.

Correct answer: C

The correct answer is 3636 months.

  1. List the multiples: Write multiples of each number or use prime factorization.
  2. Find the first shared multiple: LCM(9,12)=36LCM(9,12) = 36 months.
  3. Check the result: Verify that the answer is divisible by every number and that no smaller positive common multiple works.

LCM(9,12)=36LCM(9,12) = 36 months.

4. QuestionMultiple choice

A train arrives every 15 minutes and a shuttle every 20 minutes. When will they arrive together again?

Please select an answer first.

Correct answer: D

The correct answer is 6060 minutes.

  1. List the multiples: Write multiples of each number or use prime factorization.
  2. Find the first shared multiple: LCM(15,20)=60LCM(15,20) = 60 minutes.
  3. Check the result: Verify that the answer is divisible by every number and that no smaller positive common multiple works.

LCM(15,20)=60LCM(15,20) = 60 minutes.

5. QuestionMultiple choice

A sports drill repeats every 4 minutes and a water break every 6 minutes. When do they coincide?

Please select an answer first.

Correct answer: A

The correct answer is 1212 minutes.

  1. List the multiples: Write multiples of each number or use prime factorization.
  2. Find the first shared multiple: LCM(4,6)=12LCM(4,6) = 12 minutes.
  3. Check the result: Verify that the answer is divisible by every number and that no smaller positive common multiple works.

LCM(4,6)=12LCM(4,6) = 12 minutes.

6. QuestionMultiple choice

A weekly reminder occurs every 7 days and a review occurs every 9 days. When will both occur together?

Please select an answer first.

Correct answer: B

The correct answer is 6363 days.

  1. List the multiples: Write multiples of each number or use prime factorization.
  2. Find the first shared multiple: LCM(7,9)=63LCM(7,9) = 63 days.
  3. Check the result: Verify that the answer is divisible by every number and that no smaller positive common multiple works.

LCM(7,9)=63LCM(7,9) = 63 days.

7. QuestionMultiple choice

Two display patterns repeat every 8 and 12 steps. At which step will they first match again?

Please select an answer first.

Correct answer: C

The correct answer is 2424.

  1. List the multiples: Write multiples of each number or use prime factorization.
  2. Find the first shared multiple: LCM(8,12)=24LCM(8,12) = 24.
  3. Check the result: Verify that the answer is divisible by every number and that no smaller positive common multiple works.

LCM(8,12)=24LCM(8,12) = 24.

8. QuestionMultiple choice

A cleaning cycle repeats every 10 days and an inspection every 15 days. When will both happen together?

Please select an answer first.

Correct answer: D

The correct answer is 3030 days.

  1. List the multiples: Write multiples of each number or use prime factorization.
  2. Find the first shared multiple: LCM(10,15)=30LCM(10,15) = 30 days.
  3. Check the result: Verify that the answer is divisible by every number and that no smaller positive common multiple works.

LCM(10,15)=30LCM(10,15) = 30 days.

9. QuestionMultiple choice

A class project checks progress every 18 days and submits a report every 24 days. When do both occur?

Please select an answer first.

Correct answer: A

The correct answer is 7272 days.

  1. List the multiples: Write multiples of each number or use prime factorization.
  2. Find the first shared multiple: LCM(18,24)=72LCM(18,24) = 72 days.
  3. Check the result: Verify that the answer is divisible by every number and that no smaller positive common multiple works.

LCM(18,24)=72LCM(18,24) = 72 days.

10. QuestionMultiple choice

Two garden tasks repeat every 21 and 28 days. After how many days do they occur together?

Please select an answer first.

Correct answer: B

The correct answer is 8484 days.

  1. List the multiples: Write multiples of each number or use prime factorization.
  2. Find the first shared multiple: LCM(21,28)=84LCM(21,28) = 84 days.
  3. Check the result: Verify that the answer is divisible by every number and that no smaller positive common multiple works.

LCM(21,28)=84LCM(21,28) = 84 days.

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Frequently asked questions about Grade 6 Least Common Multiple

What topics are covered?

The page covers multiples, common multiples, prime factorization, least common multiple, GCF versus LCM, repeating schedules, synchronization, and common-denominator connections.

When is the LCM useful?

The LCM is useful when repeating events must be aligned, when schedules synchronize, or when a common denominator is needed for fractions.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 6 Least Common Multiple questions in total.