LCM
LCM is a unit of teaching within Factors and Multiples, usually two to four weeks of lessons with one assessment point.
Entity profile
Every node stores the same attribute set, which is why the hierarchy can grow without new templates.
Unit
Depth 3 in the graph
math/number-sense/factors-and-multiples/lcm
2,235
12 topics · 360 concepts · 1,800 micro-concepts
Chapters
Every chapter below is a full entity with its own skills, objectives, misconceptions and resource set.
Introducing LCM
Introducing LCM is a chapter within LCM: a coherent run of lessons that can be taught in one go.
Working with LCM
Working with LCM is a chapter within LCM: a coherent run of lessons that can be taught in one go.
LCM in Context
LCM in Context is a chapter within LCM: a coherent run of lessons that can be taught in one go.
Skills and learning objectives
Skills hang off the entity; objectives hang off the skill; activities and assessment hang off the objective.
Identify lcm
RememberIdentify lcm accurately in a familiar context.
Activities — Modelled example on the board · Paired talk task · Mini whiteboard check
Assessment — Exit ticket of four short items
Identify lcm independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain lcm
UnderstandExplain lcm accurately in a familiar context.
Activities — Modelled example on the board · Paired talk task · Mini whiteboard check
Assessment — Exit ticket of four short items
Explain lcm independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind lcm using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Calculate lcm
ApplyCalculate lcm accurately in a familiar context.
Activities — Modelled example on the board · Paired talk task · Mini whiteboard check
Assessment — Exit ticket of four short items
Calculate lcm independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Compare lcm
AnalyseCompare lcm accurately in a familiar context.
Activities — Modelled example on the board · Paired talk task · Mini whiteboard check
Assessment — Exit ticket of four short items
Compare lcm independently in an unfamiliar context.
Activities — Independent worksheet · Card sort · Concept-check quiz
Assessment — Marked worksheet with a marking scheme
Explain the reasoning behind lcm using correct vocabulary.
Activities — Talk-through with a partner · Write a model answer · AI Tutor Socratic session
Assessment — Extended written response, levelled
Semantic relationships
Prerequisite and related edges are what make this a graph rather than a menu.
- HCFUnit
- Prime FactorisationUnit
- ProportionStrand
Misconceptions
Stored on the entity so worksheets, quizzes and lesson plans all target the same known errors.
Confident students rush lcm and skip the checking step.
Correction — Build in an estimate-before-solve routine so an unreasonable answer stands out.
Learners over-generalise a special case of lcm to every situation.
Correction — Present a deliberate non-example and ask why the rule fails.
Curriculum alignment
Curricula, boards and countries are data — adding one never changes the architecture.
IB-387.1
Mapped statement covering LCM.
EDE-194.2
Mapped statement covering LCM.
What comes next
Curriculum order is an edge in the graph, so every entity knows the step that follows it.
Whole Numbers
Whole Numbers is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Counting
Counting is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Number Recognition
Number Recognition is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Number Formation
Number Formation is a curriculum strand within Number Sense — a thread that runs across grades and deepens each year.
Difficulty ladder
The same entity, six levels of demand — easy through to olympiad and exam level.
Scaffolded first attempt with worked support.
Standard curriculum demand, unscaffolded.
Multi-step questions and unfamiliar contexts.
Stretch tasks that need reasoning, not recall.
Competition-style problems built on the same idea.
Board-styled questions with mark schemes.
Learning intent
Not every visitor wants the same thing. Each intent routes to the resource that actually does that job.
Audience views
LCM in Grade 3, surfaced differently for each reader.
AI Tutor context chain
Open the tutor from here and it already knows where you are — this is the sequence it recommends.
- 01Prerequisite lessonhcf
- 02Video explanationLCM modelled end to end
- 03Interactive practiceAnswer on screen with instant checking
- 04QuizTen graded items with hints
- 05FlashcardsRetrieval on a 14-day schedule
- 06Common mistakesThe misconceptions stored on this node
- 07Harder worksheetSame concept, exam-level demand
- 08Past paper questionsBoard questions on this concept
- 09Mock testTimed, marked, with feedback
- 10Book a tutorOne-to-one on exactly this gap
Free LCM resources
Every format below is a free, standalone page generated from this entity — 53 of them, all interlinked.
- Free LCM lessons
- Free LCM lesson plans
- Free LCM explanations
- Free LCM worked examples
- Free LCM real life examples
- Free LCM common mistakes
- Free LCM video lessons
- Free LCM worksheets
- Free LCM printable worksheets
- Free LCM interactive worksheets
- Free LCM homework worksheets
- Free LCM revision worksheets
- Free LCM word problems
- Free LCM practice tests
- Free LCM flashcards
- Free LCM study notes
- Free LCM revision notes
- Free LCM cheat sheets
- Free LCM formula sheets
- Free LCM mind maps
- Free LCM vocabulary lists
- Free LCM quizzes
- Free LCM timed quizzes
- Free LCM adaptive quizzes
- Free LCM mcqs
- Free LCM true or false questions
- Free LCM fill in the blanks
- Free LCM matching exercises
- Free LCM short questions
- Free LCM long questions
- Free LCM question banks
- Free LCM exam questions
- Free LCM past paper questions
- Free LCM solved past papers
- Free LCM mock exams
- Free LCM activities
- Free LCM stem activities
- Free LCM experiments
- Free LCM games
- Free LCM projects
- Free LCM case studies
- Free LCM homework
- Free LCM assignments
- Free LCM reading comprehension
- Free LCM writing prompts
- Free LCM spelling practice
- Free LCM grammar practice
- Free LCM teacher guides
- Free LCM parent guides
- Free LCM ai tutor sessions
- Free LCM practice sessions
- Free LCM progress trackers
- Free LCM printables
Connected resources
30 resource types are generated for LCM automatically — the graph never produces an entity without them.
Concept Explanation
The idea itself, explained from first principles.
Lesson
A taught sequence with modelling and checks for understanding.
Real Life Examples
Where the idea shows up outside school.
Common Mistakes
The misconceptions and how to correct them.
AI Tutor
Socratic one-to-one practice on this exact idea.
Quiz
Graded retrieval with hints and explanations.
Question Bank
Every question filtered to this entity.
MCQs
Multiple choice items with distractor analysis.
True or False
Fast misconception checks.
Fill in the Blanks
Cloze items for vocabulary and method.
Matching
Pair terms, models and definitions.
Short Questions
One to three mark responses.
Long Questions
Extended responses with method marks.
Exam Questions
Board-styled questions and command words.
Past Papers
Authentic papers filtered to this entity.
Solved Papers
Full worked solutions and examiner notes.
Frequently asked
- What sits underneath LCM in the knowledge graph?
- 0 domains, 0 strands, 0 units, 3 chapters, 12 topics, 60 subtopics, 360 concepts and 1,800 micro-concepts — every one of them carrying its own worksheets, quizzes, flashcards, lesson plans and AI tutoring.
- What should a learner already know before LCM?
- The graph lists HCF, Prime Factorisation, Proportion as prerequisites. Each links to its own practice so a gap can be closed before moving on.
- Which grades is LCM taught in?
- Typically Grade 3, Grade 4, Grade 5, though every resource can be regenerated for any grade in the platform.
Related resources
Work through LCM one-to-one with a tutor who can see exactly where the gap is.
Book a tutor