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LCM, HCF & Prime Factors: Year 7

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LCM, HCF & Prime Factors: Year 7

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Learn LCM, HCF, and prime factors

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Neelam Bhabra
Neelam Bhabra
Malaysia

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LCM, HCF & Prime Factors: Year 7
 

LCM, HCF & Prime Factors: Year 7Online version

Learn LCM, HCF, and prime factors

by Neelam Bhabra
1

Slide 1: Welcome

Welcome, Year 7! Today we explore LCM, HCF, common multiples, common factors, and prime factors with examples and practice.

2

Slide 2: What is LCM?

LCM stands for least common multiple—the smallest number that two or more numbers divide into evenly.

3

Slide 3: What is HCF?

HCF is the highest common factor—the largest number that divides two or more numbers exactly.

4

Slide 4: Common Multiples

Common multiples are multiples that appear in the lists of two numbers. Example: 12 is a common multiple of 3 and 4.

5

Slide 5: Common Factors

Common factors divide two numbers. Example: 1, 2, and 5 are common factors of 10 and 20.

6

Slide 6: Prime Factors

Prime factors are the prime numbers that multiply to give a number. Factor trees help us see them clearly.

7

Slide 7: How the Video Works

Watch a short video showing how to find LCM, HCF, and prime factors step by step.

8

Slide 8: Example Problem

Find the LCM of 6 and 8. List factors, compare multiples, and identify the smallest common one.

9

Slide 9: Practice MCQ

Question: What is the HCF of 18 and 24?
A) 6 B) 12 C) 3 D) 9

10

Slide 10: Quick Challenge

Challenge: Find the LCM of 9, 12, and 15. Show steps and check with prime factors.

11

Welcome to HCF, LCM & Prime Factors

Welcome! Dive into HCF, LCM, common factors, common multiples, and prime factors with videos, examples, and interactive checks. Let’s learn by exploring together!

12

What is HCF?

HCF = highest common factor. Discover common factors of numbers and how to spot the biggest one. Video explains the idea with simple steps:

13

Finding HCF — Example

Find HCF of 18 and 24. Prime factorise: 18 = 2×3×3, 24 = 2×2×2×3. Common: 2 and 3 → HCF = 6.

14

What is LCM?

LCM = least common multiple. It is the smallest number divisible by both numbers. Video shows step-by-step method.

15

Finding LCM — Example

LCM of 4 and 6: multiples of 4: 4,8,12...; multiples of 6: 6,12... → LCM = 12.

16

Common Factors vs Common Multiples

Common factors: numbers that divide both. Common multiples: numbers both can divide into. Use lists or prime factors for clarity.

17

Prime Factors Overview

Prime factors are the primes that multiply to give a number. E.g., 60 = 2×2×3×5. Video shows factor trees.

18

Interactive Quick Quiz 1

Which is a common factor of 24 and 36?

  • A) 4
  • B) 6
  • C 8

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Interactive Quick Quiz 2

What is the LCM of 5 and 8?

  • A) 40
  • B) 45
  • C) 80

20

Wrap-Up & Quick Practice

Review: HCF, LCM, factors, multiples, and prime factors. Try a new pair of numbers and create a factor tree to check your understanding.
 
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