Free Grade 3 Introduction to Introducing LCM Essentials Quizzes
Free Grade 3 quizzes for Introduction to 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.
Free
Foundation
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introduction to introducing lcm essentials
Explain introduction to introducing lcm essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to introducing lcm essentials
Calculate introduction to introducing lcm essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to introducing lcm essentials
Compare introduction to introducing lcm essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introduction to introducing lcm essentials
Justify introduction to 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 Introduction to 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 20.[1]
- 2.List all the factors of 18.[1]
- 3.List all the factors of 36.[1]
- 4.List all the factors of 24.[1]
- 5.Find the highest common factor (HCF) of 24 and 40.[2]
- 6.Find the highest common factor (HCF) of 8 and 10.[2]
- 7.Find the highest common factor (HCF) of 6 and 15.[2]
- 8.Find the highest common factor (HCF) of 6 and 12.[2]
- 9.Find the lowest common multiple (LCM) of 48 and 32.[3]
- 10.Find the lowest common multiple (LCM) of 18 and 15.[3]
- 11.Find the lowest common multiple (LCM) of 12 and 24.[3]
- 12.Find the highest common factor (HCF) of 20 and 20.[3]
Show answers and working
1. 1, 2, 4, 5, 10, 20
Find factor pairs that multiply to 20. 1 × 20 2 × 10 4 × 5
2. 1, 2, 3, 6, 9, 18
Find factor pairs that multiply to 18. 1 × 18 2 × 9 3 × 6
3. 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
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. 8
List factors of 24 and 40. The largest factor they share is 8.
6. 2
List factors of 8 and 10. The largest factor they share is 2.
7. 3
List factors of 6 and 15. The largest factor they share is 3.
8. 6
List factors of 6 and 12. The largest factor they share is 6.
9. 96
HCF(48, 32) = 16. LCM = 48 × 32 ÷ 16 = 96.
10. 90
HCF(18, 15) = 3. LCM = 18 × 15 ÷ 3 = 90.
11. 24
HCF(12, 24) = 12. LCM = 12 × 24 ÷ 12 = 24.
12. 20
List factors of 20 and 20. The largest factor they share is 20.
Worked examples
List all the factors of 28.
- Find factor pairs that multiply to 28.
- 1 × 28
- 2 × 14
- 4 × 7
- Answer: 1, 2, 4, 7, 14, 28
Find the highest common factor (HCF) of 28 and 28.
- List factors of 28 and 28.
- The largest factor they share is 28.
- Answer: 28
Find the lowest common multiple (LCM) of 56 and 48.
- HCF(56, 48) = 8.
- LCM = 56 × 48 ÷ 8 = 336.
- Answer: 336
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 Introduction to Introducing LCM Essentials 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 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 Introduction to Introducing LCM Essentials?
- Move on to Key Vocabulary of Introducing LCM Essentials, Rules and Methods in Introducing LCM Essentials, Working with Introducing LCM Essentials, Introducing LCM Essentials in Examinations, which build directly on this idea.
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