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Free Grade 3 Introducing LCM Flashcards

Free Grade 3 flashcards for Introducing LCM: 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.

Price

Free

Difficulty

Stretch

Estimated time

35 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify introducing lcm

    Identify introducing lcm accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introducing lcm

    Explain introducing lcm accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introducing lcm

    Calculate introducing lcm accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introducing lcm

    Compare introducing lcm 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.

HCF

How Introducing LCM 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.

Key wordsfactormultipleprimeHCFLCM

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.List all the factors of 12.[1]
  2. 2.List all the factors of 28.[1]
  3. 3.List all the factors of 18.[1]
  4. 4.List all the factors of 20.[1]
  5. 5.Find the highest common factor (HCF) of 28 and 12.[2]
  6. 6.Find the highest common factor (HCF) of 9 and 12.[2]
  7. 7.Find the highest common factor (HCF) of 9 and 21.[2]
  8. 8.Find the highest common factor (HCF) of 35 and 10.[2]
  9. 9.Find the lowest common multiple (LCM) of 8 and 14.[3]
  10. 10.Find the highest common factor (HCF) of 16 and 16.[3]
  11. 11.Find the lowest common multiple (LCM) of 15 and 9.[3]
  12. 12.Find the highest common factor (HCF) of 28 and 28.[3]
Show answers and working

  1. 1. 1, 2, 3, 4, 6, 12

    Find factor pairs that multiply to 12. 1 × 12 2 × 6 3 × 4

  2. 2. 1, 2, 4, 7, 14, 28

    Find factor pairs that multiply to 28. 1 × 28 2 × 14 4 × 7

  3. 3. 1, 2, 3, 6, 9, 18

    Find factor pairs that multiply to 18. 1 × 18 2 × 9 3 × 6

  4. 4. 1, 2, 4, 5, 10, 20

    Find factor pairs that multiply to 20. 1 × 20 2 × 10 4 × 5

  5. 5. 4

    List factors of 28 and 12. The largest factor they share is 4.

  6. 6. 3

    List factors of 9 and 12. The largest factor they share is 3.

  7. 7. 3

    List factors of 9 and 21. The largest factor they share is 3.

  8. 8. 5

    List factors of 35 and 10. The largest factor they share is 5.

  9. 9. 56

    HCF(8, 14) = 2. LCM = 8 × 14 ÷ 2 = 56.

  10. 10. 16

    List factors of 16 and 16. The largest factor they share is 16.

  11. 11. 45

    HCF(15, 9) = 3. LCM = 15 × 9 ÷ 3 = 45.

  12. 12. 28

    List factors of 28 and 28. The largest factor they share is 28.

Worked examples

Easy example

List all the factors of 30.

  1. Find factor pairs that multiply to 30.
  2. 1 × 30
  3. 2 × 15
  4. 3 × 10
  5. 5 × 6
  6. Answer: 1, 2, 3, 5, 6, 10, 15, 30
Medium example

Find the highest common factor (HCF) of 30 and 25.

  1. List factors of 30 and 25.
  2. The largest factor they share is 5.
  3. Answer: 5
Hard example

Find the lowest common multiple (LCM) of 4 and 6.

  1. HCF(4, 6) = 2.
  2. LCM = 4 × 6 ÷ 2 = 12.
  3. Answer: 12

Interactive practice

Free, no account required — answer on screen or print it.

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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.

CAMBRIDGE CAM-648.1 — Mapped statement covering Introducing LCM.NATIONAL-CURRICULUM NAT-220.2 — Mapped statement covering Introducing LCM.

Every free resource for Introducing LCM

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Free Introducing LCM worksheets
Free Introducing LCM quizzes
Free Introducing LCM lessons
Free Introducing LCM lesson plans

Goes deeper

The entities below this one, each with the same complete free resource set.

Introducing LCM Essentials
Introducing LCM Techniques
Introducing LCM Word Problems
Introducing LCM Common Errors

Sibling concepts

Working with LCM
LCM in Context

Related concepts

Lateral links, including across subjects.

Working with LCM
LCM in Context
Factors

Next topics

Working with LCM
LCM in Context
Factors
Multiples

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Frequently asked

Is this Grade 3 Introducing LCM flashcards really free?
Yes. Every flashcards 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 flashcards 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?
Move on to Working with LCM, LCM in Context, Factors, Multiples, which build directly on this idea.

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