# HCF, LCM & Prime Factors – Complete Lesson

This is a complete lesson on HCF, LCM & prime factor decomposition, looking at how to use prime factors of find the HCF and LCM. The lesson is designed with the new GCSE specification in mind.

### Lesson Objective

• To find the highest common factor and lowest common multiple of two numbers using prime factor decomposition.

### Who is this Lesson For?

This pack is designed for GCSE higher or foundation tier students. It could also be used with Key Stage 3 students.

### What is Included?

• Full lesson plan for the ‘HCF, LCM & Prime Factors’ lesson, including introduction, teaching content, individual activities, plenary and suggested support and extension activities
• Prime Factors Investigation
• Student Worksheet on HCF, LCM & Prime Factors
• Blank Venn Diagrams
• Factors, Multiples & Primes Fact Sheet
• Complete Solutions to all Questions

### Lesson Progression

This is the sixth lesson in the ‘Factors, Multiples & Primes’ unit of work (foundation tier) and also the fifth lesson in the ‘Factors, Multiples & Primes’ unit of work (higher tier).

The Factors, Multiples & Primes (foundation) unit is available as a pack including homework activities and a unit assessment. The other lessons in the unit are:

The Factors, Multiples & Primes (higher) unit is also available as a pack with homework activities and a unit assessment. The other lessons in this unit are: