Free Grade 3 Introduction to Introducing LCM Essentials Worksheets
Free Grade 3 worksheets 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
Stretch
35 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 30.[1]
- 2.List all the factors of 24.[1]
- 3.List all the factors of 20.[1]
- 4.List all the factors of 40.[1]
- 5.Find the highest common factor (HCF) of 12 and 16.[2]
- 6.Find the highest common factor (HCF) of 16 and 40.[2]
- 7.Find the highest common factor (HCF) of 4 and 14.[2]
- 8.Find the highest common factor (HCF) of 15 and 6.[2]
- 9.Find the lowest common multiple (LCM) of 21 and 6.[3]
- 10.Find the lowest common multiple (LCM) of 18 and 45.[3]
- 11.Find the lowest common multiple (LCM) of 24 and 40.[3]
- 12.Find the lowest common multiple (LCM) of 6 and 21.[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, 8, 12, 24
Find factor pairs that multiply to 24. 1 × 24 2 × 12 3 × 8 4 × 6
3. 1, 2, 4, 5, 10, 20
Find factor pairs that multiply to 20. 1 × 20 2 × 10 4 × 5
4. 1, 2, 4, 5, 8, 10, 20, 40
Find factor pairs that multiply to 40. 1 × 40 2 × 20 4 × 10 5 × 8
5. 4
List factors of 12 and 16. The largest factor they share is 4.
6. 8
List factors of 16 and 40. The largest factor they share is 8.
7. 2
List factors of 4 and 14. The largest factor they share is 2.
8. 3
List factors of 15 and 6. The largest factor they share is 3.
9. 42
HCF(21, 6) = 3. LCM = 21 × 6 ÷ 3 = 42.
10. 90
HCF(18, 45) = 9. LCM = 18 × 45 ÷ 9 = 90.
11. 120
HCF(24, 40) = 8. LCM = 24 × 40 ÷ 8 = 120.
12. 42
HCF(6, 21) = 3. LCM = 6 × 21 ÷ 3 = 42.
Worked examples
List all the factors of 36.
- Find factor pairs that multiply to 36.
- 1 × 36
- 2 × 18
- 3 × 12
- 4 × 9
- 6 × 6
- Answer: 1, 2, 3, 4, 6, 9, 12, 18, 36
Find the highest common factor (HCF) of 63 and 27.
- List factors of 63 and 27.
- The largest factor they share is 9.
- Answer: 9
Find the lowest common multiple (LCM) of 18 and 12.
- HCF(18, 12) = 6.
- LCM = 18 × 12 ÷ 6 = 36.
- Answer: 36
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 Introduction to Introducing LCM Essentials
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
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 Introduction to 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 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 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.
Related resources
- Free Introduction to Introducing LCM Essentials quizzes
- Free Introduction to Introducing LCM Essentials flashcards
- Free Introduction to Introducing LCM Essentials lessons
- Free Introduction to Introducing LCM Essentials lesson plans
- Introduction to Introducing LCM Essentials in the knowledge graph
- Free AI Tutor
Stuck on Introduction to Introducing LCM Essentials? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor