Free Grade 3 LCM in Context Lesson Plans
Free Grade 3 lesson plans 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
Core
15 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 30.[1]
- 2.List all the factors of 36.[1]
- 3.List all the factors of 20.[1]
- 4.List all the factors of 24.[1]
- 5.Find the highest common factor (HCF) of 63 and 54.[2]
- 6.Find the highest common factor (HCF) of 4 and 14.[2]
- 7.Find the highest common factor (HCF) of 40 and 32.[2]
- 8.Find the highest common factor (HCF) of 8 and 6.[2]
- 9.Find the highest common factor (HCF) of 18 and 18.[3]
- 10.Find the lowest common multiple (LCM) of 18 and 54.[3]
- 11.Find the lowest common multiple (LCM) of 12 and 6.[3]
- 12.Find the lowest common multiple (LCM) of 35 and 10.[3]
Show answers and working
1. 1, 2, 3, 5, 6, 10, 15, 30
Find factor pairs that multiply to 30. 1 × 30 2 × 15 3 × 10 5 × 6
2. 1, 2, 3, 4, 6, 9, 12, 18, 36
Find factor pairs that multiply to 36. 1 × 36 2 × 18 3 × 12 4 × 9 6 × 6
3. 1, 2, 4, 5, 10, 20
Find factor pairs that multiply to 20. 1 × 20 2 × 10 4 × 5
4. 1, 2, 3, 4, 6, 8, 12, 24
Find factor pairs that multiply to 24. 1 × 24 2 × 12 3 × 8 4 × 6
5. 9
List factors of 63 and 54. The largest factor they share is 9.
6. 2
List factors of 4 and 14. The largest factor they share is 2.
7. 8
List factors of 40 and 32. The largest factor they share is 8.
8. 2
List factors of 8 and 6. The largest factor they share is 2.
9. 18
List factors of 18 and 18. The largest factor they share is 18.
10. 54
HCF(18, 54) = 18. LCM = 18 × 54 ÷ 18 = 54.
11. 12
HCF(12, 6) = 6. LCM = 12 × 6 ÷ 6 = 12.
12. 70
HCF(35, 10) = 5. LCM = 35 × 10 ÷ 5 = 70.
Worked examples
List all the factors of 12.
- Find factor pairs that multiply to 12.
- 1 × 12
- 2 × 6
- 3 × 4
- Answer: 1, 2, 3, 4, 6, 12
Find the highest common factor (HCF) of 40 and 40.
- List factors of 40 and 40.
- The largest factor they share is 40.
- Answer: 40
Find the highest common factor (HCF) of 15 and 15.
- List factors of 15 and 15.
- The largest factor they share is 15.
- Answer: 15
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.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 LCM in Context lesson plan really free?
- Yes. Every lesson plans 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 plan 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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