Grade 6 Math · Least Common Multiple
Build Grade 6 Math skills with five 10-question practice tests on multiples, prime factorization, least common multiple, repeating schedules, and synchronization problems.
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.
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.
1. Test
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.
Please select an answer first.
Correct answer: A
The correct answer is .
, so 18 is a multiple of 6.
Please select an answer first.
Correct answer: B
The correct answer is .
Start with and add 4 each time: 4, 8, 12, 16.
Please select an answer first.
Correct answer: C
The correct answer is .
, so it is divisible by both 3 and 5.
Please select an answer first.
Correct answer: D
The correct answer is .
The multiples of 4 are 4, 8, 12 and the multiples of 6 are 6, 12, so the first shared multiple is 12.
Please select an answer first.
Correct answer: A
The correct answer is Yes, because .
, so 24 is a multiple of 8.
Please select an answer first.
Correct answer: B
The correct answer is .
Because 5 and 7 are relatively prime, multiply them: .
Please select an answer first.
Correct answer: C
The correct answer is .
, and no positive common multiple is smaller.
Please select an answer first.
Correct answer: D
The correct answer is .
The first shared value in the lists of multiples is .
Please select an answer first.
Correct answer: A
The correct answer is .
, so 12 is the first common multiple.
Please select an answer first.
Correct answer: B
The correct answer is .
The first number divisible by both 10 and 12 is , since and .
The page covers multiples, common multiples, prime factorization, least common multiple, GCF versus LCM, repeating schedules, synchronization, and common-denominator connections.
The LCM is useful when repeating events must be aligned, when schedules synchronize, or when a common denominator is needed for fractions.
The page includes five mini tests with 10 questions each, for 50 Grade 6 Least Common Multiple questions in total.
