1. Types of Numbers Multiples and LCM Factors and HCF
Problems involving LCM / HCF
25-May-18
Created by Mr. Lafferty

2. Starter Questions 1. Find the area of the rectangle.
9mm
20mm
2. Find the perimeter of the rectangle.
25-May-18
Created by Mr. Lafferty

3. Lowest Common Multiple
Learning Intention
Success Criteria
We are learning that multiples are simply values in the times tables
We are learning how to find the Lowest Common Multiple.
Remember times tables and use them for multiples.
Apply sets of multiples to identify Lowest Common Multiples
25-May-18
Created by Mr. Lafferty

4. Lowest Common Multiple
All about your tables
Lowest Common Multiple
Multiples
Example : Find the first seven multiples of 3.
M3 = 3, 6 , 9, 12, 15, 18, 21
Example : Find the first five multiples of 4.
M4 = 4, 8 , 12, 16, 20,
25-May-18
Created by Mr. Lafferty

5. Lowest Common Multiple
All about your tables
Lowest Common Multiple
Multiples
Example : Find the first eight multiples of 7.
M7 = 7, 14 , 21, 28, 35, 42, 49 , 56
Example : Find the first seven multiples of 8.
M8 = 8, 16 , 24, 32, 40, 48, 56
25-May-18
Created by Mr. Lafferty

6. Lowest Common Multiple
We need to write out multiples in order to find
the Lowest Common Multiple.
25-May-18
Created by Mr. Lafferty

7. What is the lowest number that appears in both lists ?
Lowest Common Multiple
Multiples
Example : Find the LCM for 3 and 4.
M3 = 3, 6 , 9, 12, 15, 18, 21
M4 = 4, 8 , 12, 16, 20,
LCM = 12
25-May-18
Created by Mr. Lafferty

8. What is the lowest number that appears in both lists ?
Lowest Common Multiple
Multiples
Example : Find the LCM for 7 and 8.
M7 = 7, 14 , 21, 28, 35, 42, 49 , 56
M8 = 8, 16 , 24, 32, 40, 48, 56
LCM = 56
25-May-18
Created by Mr. Lafferty

9. What is the lowest number that appears in all lists ?
Lowest Common Multiple
Multiples
Example : Find the LCM for 2 , 4 and 6.
M2 = 2, 4 , 6, 8 , 10, 12, 14
M4 = 4, 8 , 12 , 16
M6 = 6, 12 , 18
LCM = 12
25-May-18
Created by Mr. Lafferty

10. Now try TJ2a Ex 1 Ch17 (page168) Lowest Common Multiple
25-May-18
Created by Mr. Lafferty

11. Starter Questions 1. Find the volume of the cuboid.
3mm
4mm
10mm
25 % of the 720.
25-May-18
Created by Mr. Lafferty

12. Highest Common Factor www.mathsrevision.com Learning Intention
Success Criteria
We are learning that a factor divides into a number with no remainder
We are learning how to find Highest Common Factors
Identify factors using factor pairs
Find HCF for two numbers by comparing factors.
25-May-18
Created by Mr. Lafferty

13. 1 and the number itself are ALWAYS factors.
Highest Common Factor
Example : Find the factors of 9.
F9 = 1, 3, 9
Example : Find the factors 12.
F12 = 1, 2, 3, 4, 6, 12
25-May-18
Created by Mr. Lafferty

14. 1 and the number itself are ALWAYS factors.
Highest Common Factor
Example : Find the factors of 10.
F10 = 1, 2, 5, 10
Example : Find the factors of 15.
F15 = 1, 3, 5, 15
25-May-18
Created by Mr. Lafferty

15. Highest Common Factor Highest Common Factor www.mathsrevision.com
We need to write out all factors in order to find the Highest Common Factor.
25-May-18
Created by Mr. Lafferty

16. What is the highest number that appears in both lists ?
Highest Common Factor
Example : Find the HCF for 9 and 12.
F9 = 1, 3, 9
F12 = 1, 2, 3, 4, 6, 12
HCF = 3
25-May-18
Created by Mr. Lafferty

17. What is the highest number that appears in both lists ?
Highest Common Factor
Example : Find the HCF for 10 and 15.
F10 = 1, 2, 5, 10
F15 = 1, 3, 5, 15
HCF = 5
25-May-18
Created by Mr. Lafferty

18. What is the highest number that appears in both lists ?
Highest Common Factor
Example : Find the HCF of 8 and 12.
F8 = 1, 2, 4, 8
F12 = 1, 2, 3, 4, 6, 12
HCF = 4
25-May-18
Created by Mr. Lafferty

19. Now try TJ2a Ex 2 Ch17 (page169) Highest Common Factor
25-May-18
Created by Mr. Lafferty

20. Starter Questions 1. Find the factors of 21. www.mathsrevision.com
10 % of the 150.
25-May-18
Created by Mr. Lafferty

21. Problems www.mathsrevision.com Learning Intention Success Criteria
We are problem solving with multiples and factors.
Be able to solve problems involving multiples and factors.
25-May-18
Created by Mr. Lafferty

22. Factor Problem
Say which multiple bucket each number can go in. 2 2 6 6 12 12 12 18 18 57 60 60 60
Multiples of 2
Multiples of 3
Multiples of 4
25-May-18
Created by Mr. Lafferty

23. Multiple Problem
Say which multiple box each number can go in. 3 3 3 5 6 6 9 12 12 18
Factor 15
Factor 24
Factor 72
25-May-18
Created by Mr. Lafferty

24. Have you updated your Learning Log ?
Problems
Now try TJ2a
Ex 3
Ch17 (page170)
25-May-18
Created by Mr. Lafferty