Logic Masters · Ages 11 to 12
Two-Step Equation Blitz
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5 levels+40 XP
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5 levels · BeginnerPlay
Logic Masters · Ages 11 to 12
All Logic Masters gamesLCM HCF Ladder Climb
Find the HCF and the LCM of two numbers, then check them against each other. For ages 11 to 12.
PuzzleHCF and LCM from prime factors~9 min per level5 levelsAll devices
- Free · no account required
- COPPA compliant
- +10 XP per level
- 5 levels
- Plays on all devices
- Curriculum-aligned
The learning journey
Every activity is one step. Here is where this one fits.
- Play(you are here)Learn the idea in a game
- PractiseLock it in on paper
- ReviewCome back and keep it sharp
- MasterTake on a harder challenge
- AchieveEarn a certificate
About LCM HCF Ladder Climb
LCM HCF Ladder Climb asks for both answers from the same pair of numbers, and then for a check that ties them together. Producing both in one round is the whole design, because the difficulty here is almost never the arithmetic — it is that highest common factor and lowest common multiple are four words that all sound like each other, and students who can compute both perfectly well still routinely give the one that was not asked for. Being forced to produce both, from the same starting point, in the same round, is what makes the distinction stick in a way that reciting definitions does not. The third row is where the game earns its place. The highest common factor multiplied by the lowest common multiple always equals the product of the two original numbers, without exception, and a student who has verified that a dozen times has acquired something genuinely useful: a way of checking their own answer that requires no help and no answer key. If HCF times LCM does not come to the product, one of the two is wrong, and they know it immediately rather than at the end of a test. Each row carries a clue naming what is being asked and a hint that shows the prime factors rather than the answer. The distractors offered are the two original numbers and their sum, which is what a student produces when the words have blurred. Free, no sign-up, no advertising to children.
Where to go next
Chosen by the skills this activity practises.
Next — more of the same skill
Printable worksheets for this skill
A hand for grown-ups
- Before you start
- Think of it as groups: "4 × 3" is four groups of three. Have something you can arrange into equal groups.
- While they work
- Skip-counting (3, 6, 9, 12…) is a solid way in before facts are memorised. Let them use it — speed comes later.
- Afterwards
- Spot arrays in real life together — eggs in a box, tiles on a floor. Rows-and-columns is multiplication you can see.
- Watch out for
- Treating it as harder addition and losing track. Grouping objects physically keeps the "equal groups" idea in view.
- Away from the screen
- Lay out objects in rows and columns and count them two ways. Cooking with doubled recipes is multiplication too.
How to play
A question appears on screen
A maths question is shown in large text at the centre of the play area. A timer bar begins counting down from 140 seconds.
Choose the correct answer
Answer options are shown as large buttons. Tap and drag, or use the mouse on desktop. Any input method works — touch, mouse or keyboard.
Build your streak
Each consecutive correct answer increases your streak. A longer streak lights up the flame icon and adds a bonus multiplier to the XP you earn for the level.
Finish the level
Each level has 4 questions. Complete them to earn the full level reward (+10 XP, plus up to +10 XP for a perfect run). Progress is saved locally and shown on the Parent Dashboard.
Curriculum alignment
Mapped to national curriculum frameworks so teachers and parents can match practice to school standards.
- United StatesCommon Core State Standards for Mathematics · prime-numbers, multiplication, divisionAligned to prime-numbers, multiplication, division number and operations objectives.
- United KingdomNational Curriculum for England — Maths · prime-numbers, multiplication, divisionAligned to prime-numbers, multiplication, division number and operations objectives.
- AustraliaAustralian Curriculum v9.0 — Mathematics · prime-numbers, multiplication, divisionAligned to prime-numbers, multiplication, division number and operations objectives.
- CanadaPan-Canadian Provincial Standards · prime-numbers, multiplication, divisionAligned to prime-numbers, multiplication, division number and operations objectives.
Common questions from parents & teachers
Everything you need to know before your child starts playing.
- The highest common factor is the largest number that divides both. The lowest common multiple is the smallest number both divide into. The words sound alike, which is most of the difficulty.
- Because students who can compute both still give the one that was not asked for. Producing both from the same numbers is what fixes the distinction.
- They always multiply to give the product of the two original numbers. If yours do not, one of them is wrong — and you know immediately, without an answer key.
- They are the reliable route, which is why our Prime Factor Tree Builder sits alongside this game.
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