Multiples and Factors

L/O: To recognise and use multiples, factors, LCM and HCF

20 April 2023

Use your tech savvy skills and find and write the definitions of in your work book: Proper fractions, Improper fractions, Mixed numerals, HCF- Highest Common Factor LCM- Lowest Common Multiple

Work in pairs and come up with an example to show :

1. How do we change an improper fraction to a proper fraction.

2. Change a Proper to an improper fraction.

Multiples

A multiple of a number is found by multiplying the number by any whole

number.

A multiple of a number is found by multiplying the number by any whole

number.

What are the first six multiples of 4?

To find the first six multiples of 4 multiply 4 by 1, 2, 3, 4, 5 and 6 in turn to get:

4, 8, 12, 16, 20 and 24.

Multiples of 6

Multiples of 8

24 48 72 968 16 32 40 56 64 80 88 104 …

612

18

24

3036

42

48

5460

66

72

7884

90

96

102…

Lowest Common Multiple (LCM)

The lowest common multiple (LCM) of two numbers is the smallest number that is a

multiple of both the numbers.

The lowest common multiple (LCM) of two numbers is the smallest number that is a

multiple of both the numbers.

8 16 24 32 40 48 56 64 72 80 …

10 20 30 40 50 60 70 80 90 100 …

The lowest common multiple (LCM) of 8 and 10 is40.

What is the lowest common multiple (LCM) of 8 and 10?

What is the LCM of 5 and 8?

Starter: FIND the LCM of the FOLLOWING:

a)2 & 8

b)6 & 9 c)4 & 6 d) 4 & 3

e) 5 & 7 f) 8 & 10 g) 8 & 7 h) 3 & 8

Copy and complete the following:

–3 × 8 =–24

42 ÷ = –6–7

× –8 = 96–12

47 × = 1413

–72 ÷ –6 = 12

–36 ÷ = –49

÷ –9 = –654

–7 × = 175–25

–4 × –5 × –8 =–160

3 × –60 ÷ = 15-12

Multiples and Factors

L/O: To recognise and use multiples, factors, LCM and HCF

20 April 2023

STARTER

LCM and & HCF

• L/O: To recognise and use multiples, factors, LCM and HCF

• Must know your times tables

• Could calculate the factor of an integer

• Should calculate the HCF of two numbers

FactorsA factor is a

number that divides exactly into another number.

A factor is a number that divides exactly into another

number.

Factors come in pairs.

For example, what are the factors of 30?

1 and302 and153 and

105 and

6

So, in order, the factors of 30 are:

1,2,3,5,6,10,15and 30.

The highest common factor (HCF)The highest common factor (or HCF) of two

numbers is the highest number that is a factor of both numbers.

The highest common factor (or HCF) of two numbers is the highest number that is a factor

of both numbers.

HCF of 36 and 45

Factors of 36 are :

1,

2,

3,

4,

6,

9,

12,

18,

36.

Factors of 45 are :

1,

3,

5,

9,

15,

45.

The HCF of 36 and 45 is 9.