1. Please make sure you have the following on your desk:
Planners
Jotters
Exercise book
Pencil Cases
ID Cards

2. WALT: find the lowest common multiple (LCM) and the highest common factor (HCF) of numbers.

3. LCM and HCF C/Work (S) LO MWB – Multiples and Factors
WALT: find the lowest common multiple (LCM) and the highest common factor (HCF) of numbers.
Learning outcomes:
List multiples and factors
Find LCM of two numbers
Find HCF of two numbers

4. I can recognise multiples and find lowest common multiples.
What is a LCM?
Lowest Common Multiple.

5. I can recognise multiples and find lowest common multiples.
The multiples of 4 are: 4, 8,
12,
16,
20,
24,
28,
32.
The multiples of 6 are: 6,
12,
18,
24,
30. 12
The lowest multiple in both lists is ...
The LCM of 4 and 6 is 12

6. I can recognise multiples and find lowest common multiples.
The multiples of 3 are: 3, 6, 9,
12,
15,
18,
The multiples of 12 are:
12,
24,
36,
48,
60,
72, 12
The lowest multiple in both lists is ...
The LCM of 3 and 12 is 12

7. Find the LCM of the following pairs of numbers
GREEN
RED
AMBER
1) 3 and 5
1) 7 and 9
1) 3, 4 and 5
2) 4 and 6
2) 8 and 12
2) 5, 8 and 10
3) 10 and 15
3) 15 and 25
3) 15, 20 and 24
4) 16 and 24
4) 8, 15 and 20
4) 6 and 9

8. GREEN RED AMBER 1) 15 1) 63 1) 60 2) 12 2) 24 2) 40 3) 30 3) 100
3) 120
4) 48
4) 120
4) 18

9. Find the LCM of the following pairs of numbers
GREEN
RED
AMBER
5) 3 and 8
5) 14 and 5
5) 15, 18 and 30
6) 6 and 15
6) 24 and 10
6) 3, 9 and 12
7) 4 and 100
7) 18 and 54
7) 4, 12 and 16
8) 9 and 13
8) 2, 4 and 9
8) 36 and 3

10. GREEN RED AMBER 5) 24 5) 70 5) 90 6) 30 6) 120 6) 36 7) 100 7) 54
7) 48
8) 117
8) 36
8) 36

11. I can recognise factors and find highest common factors.
What is a HCF?
Highest Common Factor.

12. I can recognise factors and find highest common factors.
The factors of 36: 1, 2, 3, 4, 6, 9,
12,
18,
36.
The factors of 45: 1, 3, 5, 9,
15,
45. 9
The largest factor in both lists is ...
The HCF of 36 and 45 is 9

13. I can recognise factors and find highest common factors.
The factors of 24: 1, 2, 3, 4, 6, 8,
12,
24.
The factors of 30: 1, 2, 3, 5, 6,
10,
15,
30. 6
The largest factor in both lists is ...
The HCF of 24 and 30 is 6

14. Find the HCF of the following pairs of numbers
GREEN
RED
AMBER
1) 18 and 24
1) 81 and 56
1) 128 and 36
2) 27 and 54
2) 51 and 3
2) 108 and 45
3) 14 and 36
3) 25 and 15
3) 55 and 17
4) 68 and 28
4) 64 and 48
4) 24 and 16

15. GREEN RED AMBER 1) 6 1) 1 1) 4 2) 27 2) 51 2) 9 3) 2 3) 5 3) 1 4) 4
4) 8
4) 8

16. Find the HCF of the following pairs of numbers
GREEN
RED
AMBER
5) 34 and 16
5) 88 and 14
5) 99 and 19
6) 25 and 40
6) 75 and 60
6) 132 and 26
7) 54 and 27
7) 125 and 25
7) 144 and 81
8) 184 and 8
8) 200 and 700
8) 49 and 7

17. GREEN RED AMBER 5) 2 5) 2 6) 5 6) 15 8) 7 5) 1 6) 2 7) 27 7) 25 7) 3
8) 8
8) 100
8) 7

18. PLENARY
Write a number in each circle, so that the number in the square is the product of the two circles either side of it.
RED
AMBER
GREEN 24 40
120 40 66 99 15 75 54

19. PLENARY
Write a number in each circle, so that the number in the square is the product of the two circles either side of it.
RED
GREEN
AMBER 8 8 11 24 40
120 40 66 99 3 5 15 5 15 6 9 75 54