Multiples & Lowest Common Multiples

Find the multiples or lowest common multiple.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA5-2
New NZC (2026)
  • NZC26-P4-ALG-ER-P-Y9-01
  • NZC26-P3-NUM-NSO-K-Y7-07
  • NZC26-P3-NUM-NSO-P-Y7-07

Resources

  • Alpha textbook: Multiples, Ex 4.01, pg 68
  • Alpha textbook: Lowest Common Multiple, Ex 4.03, pgs 70 & 71
  • CorbettMaths worksheetQuestions PDF · Answers

Terminology

  • multiple
  • common multiple
  • lowest common multiple
  • factor

Task goals

  • List multiples of a given number in order.
  • Decide whether one number is a multiple of another.
  • Identify common multiples of two numbers by comparing their multiples lists.
  • Find the lowest common multiple (LCM) of two numbers.
  • Justify or correct a claimed lowest common multiple.
  • Solve real-world problems that use the lowest common multiple, such as events that repeat on a cycle.

Where this fits

What leads into this objective, and where it goes next.

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Multiples & Lowest Common Multiples

Multiples & Lowest Common Multiples

Know

The least common multiple (LCM) of two numbers is the smallest number that they are both factors of.

Statement▸
Year 7 · Number · Number structures and operations
NZC26-P3-NUM-NSO-K-Y7-07
Do

Finding the highest common factor (HCF) of two numbers under 100, and finding the least common multiple (LCM) of two numbers under 10

Statement▸
Year 7 · Number · Number structures and operations
NZC26-P3-NUM-NSO-P-Y7-07

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