Exploring Lowest Common Multiples and Highest Common Factors

This video tutorial covers the concepts of common multiples and highest common factors. It begins with a recap of factors and multiples, explaining that multiples are products of a number and another number, while factors are numbers that multiply to form another number. The tutorial provides examples to find the lowest common multiple (LCM) and highest common factor (HCF) for pairs of numbers: 8 and 12, 10 and 15, and 12 and 18. Each example includes a list of multiples and factors, identifying common ones to determine the LCM and HCF. The video concludes with an interactive exercise for viewers to find the LCM and HCF of 6 and 10.

What is a multiple of a number?

• A number that is smaller than another number

• A number that is a prime number

• A number that is the result of multiplying a number by an integer

• A number that divides another number without a remainder

Which of the following is a common multiple of 8 and 12?

• 16

• 24

• 32

• 40

What is the highest common factor of 10 and 15?

• 2

• 3

• 5

• 10

Which number is a common factor of 12 and 18?

• 4

• 6

• 3

• 9

What is the lowest common multiple of 6 and 10?

• 20

• 50

• 30

• 40