Free Grade 3 Working with Introducing LCM Essentials Worksheets
Free Grade 3 worksheets for Working with Introducing LCM Essentials: 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.
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30 min
24
Learning objectives
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- UnderstandExplain working with introducing lcm essentials
Explain working with introducing lcm essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing lcm essentials
Calculate working with introducing lcm essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing lcm essentials
Compare working with introducing lcm essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing lcm essentials
Justify working with introducing lcm essentials 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 Working with Introducing LCM Essentials 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 20.[1]
- 3.List all the factors of 30.[1]
- 4.List all the factors of 28.[1]
- 5.Find the highest common factor (HCF) of 12 and 12.[2]
- 6.Find the highest common factor (HCF) of 56 and 16.[2]
- 7.Find the highest common factor (HCF) of 30 and 42.[2]
- 8.Find the highest common factor (HCF) of 27 and 63.[2]
- 9.Find the lowest common multiple (LCM) of 10 and 15.[3]
- 10.Find the highest common factor (HCF) of 6 and 6.[3]
- 11.Find the lowest common multiple (LCM) of 16 and 28.[3]
- 12.Find the lowest common multiple (LCM) of 12 and 30.[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, 4, 5, 10, 20
Find factor pairs that multiply to 20. 1 × 20 2 × 10 4 × 5
3. 1, 2, 3, 5, 6, 10, 15, 30
Find factor pairs that multiply to 30. 1 × 30 2 × 15 3 × 10 5 × 6
4. 1, 2, 4, 7, 14, 28
Find factor pairs that multiply to 28. 1 × 28 2 × 14 4 × 7
5. 12
List factors of 12 and 12. The largest factor they share is 12.
6. 8
List factors of 56 and 16. The largest factor they share is 8.
7. 6
List factors of 30 and 42. The largest factor they share is 6.
8. 9
List factors of 27 and 63. The largest factor they share is 9.
9. 30
HCF(10, 15) = 5. LCM = 10 × 15 ÷ 5 = 30.
10. 6
List factors of 6 and 6. The largest factor they share is 6.
11. 112
HCF(16, 28) = 4. LCM = 16 × 28 ÷ 4 = 112.
12. 60
HCF(12, 30) = 6. LCM = 12 × 30 ÷ 6 = 60.
Worked examples
List all the factors of 24.
- Find factor pairs that multiply to 24.
- 1 × 24
- 2 × 12
- 3 × 8
- 4 × 6
- Answer: 1, 2, 3, 4, 6, 8, 12, 24
Find the highest common factor (HCF) of 21 and 28.
- List factors of 21 and 28.
- The largest factor they share is 7.
- Answer: 7
Find the lowest common multiple (LCM) of 8 and 6.
- HCF(8, 6) = 2.
- LCM = 8 × 6 ÷ 2 = 24.
- Answer: 24
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
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Frequently asked
- Is this Grade 3 Working with Introducing LCM Essentials worksheet really free?
- Yes. Every worksheets 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 Rules and Methods in Introducing LCM Essentials, Key Vocabulary of Introducing LCM Essentials, HCF. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet 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 Working with Introducing LCM Essentials?
- Move on to Introducing LCM Essentials in Examinations, Introducing LCM Techniques, Introducing LCM Word Problems, Introducing LCM Common Errors, which build directly on this idea.
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