Free Grade 3 LCM in Context Lessons
Free Grade 3 lessons for LCM in Context: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain lcm in context
Explain lcm in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate lcm in context
Calculate lcm in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare lcm in context
Compare lcm in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify lcm in context
Justify lcm in context 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 LCM in Context 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 40.[1]
- 2.List all the factors of 24.[1]
- 3.List all the factors of 18.[1]
- 4.List all the factors of 30.[1]
- 5.Find the highest common factor (HCF) of 12 and 20.[2]
- 6.Find the highest common factor (HCF) of 35 and 10.[2]
- 7.Find the highest common factor (HCF) of 10 and 25.[2]
- 8.Find the highest common factor (HCF) of 18 and 21.[2]
- 9.Find the lowest common multiple (LCM) of 15 and 35.[3]
- 10.Find the lowest common multiple (LCM) of 24 and 16.[3]
- 11.Find the lowest common multiple (LCM) of 14 and 28.[3]
- 12.Find the lowest common multiple (LCM) of 56 and 32.[3]
Show answers and working
1. 1, 2, 4, 5, 8, 10, 20, 40
Find factor pairs that multiply to 40. 1 × 40 2 × 20 4 × 10 5 × 8
2. 1, 2, 3, 4, 6, 8, 12, 24
Find factor pairs that multiply to 24. 1 × 24 2 × 12 3 × 8 4 × 6
3. 1, 2, 3, 6, 9, 18
Find factor pairs that multiply to 18. 1 × 18 2 × 9 3 × 6
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. 4
List factors of 12 and 20. The largest factor they share is 4.
6. 5
List factors of 35 and 10. The largest factor they share is 5.
7. 5
List factors of 10 and 25. The largest factor they share is 5.
8. 3
List factors of 18 and 21. The largest factor they share is 3.
9. 105
HCF(15, 35) = 5. LCM = 15 × 35 ÷ 5 = 105.
10. 48
HCF(24, 16) = 8. LCM = 24 × 16 ÷ 8 = 48.
11. 28
HCF(14, 28) = 14. LCM = 14 × 28 ÷ 14 = 28.
12. 224
HCF(56, 32) = 8. LCM = 56 × 32 ÷ 8 = 224.
Worked examples
List all the factors of 20.
- Find factor pairs that multiply to 20.
- 1 × 20
- 2 × 10
- 4 × 5
- Answer: 1, 2, 4, 5, 10, 20
Find the highest common factor (HCF) of 30 and 20.
- List factors of 30 and 20.
- The largest factor they share is 10.
- Answer: 10
Find the lowest common multiple (LCM) of 30 and 20.
- HCF(30, 20) = 10.
- LCM = 30 × 20 ÷ 10 = 60.
- Answer: 60
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.
Every free resource for LCM in Context
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
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Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 LCM in Context lesson really free?
- Yes. Every lessons 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 Working with LCM, Introducing LCM, HCF. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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 LCM in Context?
- Move on to Factors, Multiples, Prime Numbers, Prime Factorisation, which build directly on this idea.
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