Checking and securing understanding of LCM and HCF
I can calculate the lowest common multiple or highest common factor efficiently.
Checking and securing understanding of LCM and HCF
I can calculate the lowest common multiple or highest common factor efficiently.
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Lesson details
Key learning points
- Both the LCM and HCF can be found by comparing the prime factorisation of the numbers.
- A Venn diagram can be a helpful representation.
- This representation can be extended to consider three numbers.
- The context of the question can make it clear whether the LCM or HCF would be the most useful.
Keywords
HCF - HCF is an abbreviation for highest common factor.
LCM - LCM is an abbreviation for lowest common multiple.
Prime factorisation - Prime factorisation is a method to find the prime factors of a given integer.
Product of primes - Expressing a number as a product of primes means writing it uniquely as a product of its factors that are prime numbers.
Common misconception
When using a Venn diagram students often mix up HCF & LCM.
Encourage students to check the reasonableness of their answer.
To help you plan your year 10 maths lesson on: Checking and securing understanding of LCM and HCF, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Checking and securing understanding of LCM and HCF, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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Explore more key stage 4 maths lessons from the Arithmetic procedures: index laws unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
