Free Grade 3 Introducing LCM Word Problems Worksheets
Free Grade 3 worksheets for Introducing LCM Word Problems: 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.
- RememberIdentify introducing lcm word problems
Identify introducing lcm word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing lcm word problems
Explain introducing lcm word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing lcm word problems
Calculate introducing lcm word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing lcm word problems
Compare introducing lcm word problems 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 Introducing LCM Word Problems 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 20.[1]
- 3.List all the factors of 28.[1]
- 4.List all the factors of 24.[1]
- 5.Find the highest common factor (HCF) of 45 and 27.[2]
- 6.Find the highest common factor (HCF) of 35 and 25.[2]
- 7.Find the highest common factor (HCF) of 8 and 6.[2]
- 8.Find the highest common factor (HCF) of 16 and 56.[2]
- 9.Find the lowest common multiple (LCM) of 20 and 28.[3]
- 10.Find the lowest common multiple (LCM) of 15 and 6.[3]
- 11.Find the highest common factor (HCF) of 24 and 24.[3]
- 12.Find the highest common factor (HCF) of 25 and 25.[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, 4, 5, 10, 20
Find factor pairs that multiply to 20. 1 × 20 2 × 10 4 × 5
3. 1, 2, 4, 7, 14, 28
Find factor pairs that multiply to 28. 1 × 28 2 × 14 4 × 7
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 45 and 27. The largest factor they share is 9.
6. 5
List factors of 35 and 25. The largest factor they share is 5.
7. 2
List factors of 8 and 6. The largest factor they share is 2.
8. 8
List factors of 16 and 56. The largest factor they share is 8.
9. 140
HCF(20, 28) = 4. LCM = 20 × 28 ÷ 4 = 140.
10. 30
HCF(15, 6) = 3. LCM = 15 × 6 ÷ 3 = 30.
11. 24
List factors of 24 and 24. The largest factor they share is 24.
12. 25
List factors of 25 and 25. The largest factor they share is 25.
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 20 and 16.
- List factors of 20 and 16.
- The largest factor they share is 4.
- Answer: 4
Find the lowest common multiple (LCM) of 27 and 54.
- HCF(27, 54) = 27.
- LCM = 27 × 54 ÷ 27 = 54.
- Answer: 54
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.
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Frequently asked
- Is this Grade 3 Introducing LCM Word Problems 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 Introducing LCM Techniques, 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 Introducing LCM Word Problems?
- Move on to Introducing LCM Common Errors, Working with LCM, LCM in Context, which build directly on this idea.
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