Free Grade 3 Introducing LCM Word Problems Quizzes
Free Grade 3 quizzes for Introducing LCM Word Problems: 12 real questions with a full answer key and worked solutions. Factors divide a number exactly; multiples are in its times table. The HCF is the biggest shared factor, the LCM the smallest shared multiple.
Free
Stretch
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing lcm word problems
Identify introducing lcm word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing lcm word problems
Explain introducing lcm word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing lcm word problems
Calculate introducing lcm word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing lcm word problems
Compare introducing lcm word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Introducing LCM Word Problems works
Factors divide a number exactly; multiples are in its times table. The HCF is the biggest shared factor, the LCM the smallest shared multiple.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.List all the factors of 12.[1]
- 2.List all the factors of 40.[1]
- 3.List all the factors of 20.[1]
- 4.List all the factors of 30.[1]
- 5.Find the highest common factor (HCF) of 56 and 24.[2]
- 6.Find the highest common factor (HCF) of 40 and 32.[2]
- 7.Find the highest common factor (HCF) of 12 and 8.[2]
- 8.Find the highest common factor (HCF) of 32 and 32.[2]
- 9.Find the lowest common multiple (LCM) of 16 and 8.[3]
- 10.Find the lowest common multiple (LCM) of 12 and 30.[3]
- 11.Find the lowest common multiple (LCM) of 21 and 42.[3]
- 12.Find the lowest common multiple (LCM) of 45 and 36.[3]
Show answers and working
1. 1, 2, 3, 4, 6, 12
Find factor pairs that multiply to 12. 1 × 12 2 × 6 3 × 4
2. 1, 2, 4, 5, 8, 10, 20, 40
Find factor pairs that multiply to 40. 1 × 40 2 × 20 4 × 10 5 × 8
3. 1, 2, 4, 5, 10, 20
Find factor pairs that multiply to 20. 1 × 20 2 × 10 4 × 5
4. 1, 2, 3, 5, 6, 10, 15, 30
Find factor pairs that multiply to 30. 1 × 30 2 × 15 3 × 10 5 × 6
5. 8
List factors of 56 and 24. The largest factor they share is 8.
6. 8
List factors of 40 and 32. The largest factor they share is 8.
7. 4
List factors of 12 and 8. The largest factor they share is 4.
8. 32
List factors of 32 and 32. The largest factor they share is 32.
9. 16
HCF(16, 8) = 8. LCM = 16 × 8 ÷ 8 = 16.
10. 60
HCF(12, 30) = 6. LCM = 12 × 30 ÷ 6 = 60.
11. 42
HCF(21, 42) = 21. LCM = 21 × 42 ÷ 21 = 42.
12. 180
HCF(45, 36) = 9. LCM = 45 × 36 ÷ 9 = 180.
Worked examples
List all the factors of 18.
- Find factor pairs that multiply to 18.
- 1 × 18
- 2 × 9
- 3 × 6
- Answer: 1, 2, 3, 6, 9, 18
Find the highest common factor (HCF) of 36 and 45.
- List factors of 36 and 45.
- The largest factor they share is 9.
- Answer: 9
Find the lowest common multiple (LCM) of 54 and 63.
- HCF(54, 63) = 9.
- LCM = 54 × 63 ÷ 9 = 378.
- Answer: 378
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Mixes up factors and multiples.
Correction: Factors are Few (they fit inside), multiples are Many (they go on forever).
Misses factor pairs.
Correction: Work through 1, 2, 3… in order until the pairs meet.
Teacher tips
- · Use factor rainbows to show pairs.
Parent tips
- · Ask how many ways 24 sweets can be put into equal bags.
Real-life applications
- · Arranging chairs in equal rows, syncing bus timetables (LCM).
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Introducing LCM Word Problems quiz really free?
- Yes. Every quizzes on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Introducing LCM Techniques, Introducing LCM Essentials, HCF. Each one has its own free lesson, worksheet and quiz.
- How is the quiz sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Introducing LCM Word Problems?
- Move on to Introducing LCM Common Errors, Working with LCM, LCM in Context, which build directly on this idea.
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