The lowest common multiple is the lowest number that is a multiple of two or more integers.

LCM is an abbreviation for lowest common multiple.

Lowest common multiple

Maths

Checking understanding of factors, multiples, squares and cubes

Securing understanding of factors, multiples, squares and cubes

Listing multiples

Divisibility tests for 2 and 3

Divisibility tests for 6 and 9

Divisibility tests for 5 and 10

Divisibility tests for 4 and 8

Square and cube numbers

Square and cube roots

Power notation

Powers and roots using a calculator

Listing factors

Checking understanding of prime numbers

Expressing an integer as a product of its prime factors

Calculating integers from their prime factor expressions

Highest common factor

HCF or LCM

Problem solving with factors, multiples, squares and cubes

This unit on factors, multiples, squares and cubes helps pupils build on their understanding that any positive integer can be expressed as a product of its factors. This skill is used in the next unit to explore multiplying and dividing with decimals.

In this unit, pupils learnt how to identify common factors and common multiples. in this unit, pupils build on this understanding to find the LCM and HCF

In this unit pupils develop their understanding of factors and multiples, then extend this knowledge to learn general divisibility tests for integers and develop strategies to determine the highest common factor and lowest common multiple of two or more integers.

Properties of number: factors, multiples, squares and cubes

Which of the following is not a multiple of $$2\times3^2\times5$$?

Given that $$12 = 2^2\times3$$, write 60 as a product of its prime factors.

The LCM of 70 and 42 is 210. So, the missing prime factor in the Venn diagram is {{ }}

Complete the statement. A number that is a multiple of two or more numbers is called a {{ }} multiple.

Match each number with its first four multiples.

Which of the following is a factor of $$2^3\times3^4\times5^2$$ and of $$2^3\times3^5\times5$$?

240 as a product of prime factors is $$2^4 \times 3 \times 5$$

240 as a product of prime factors is $$2^2 \times 3^2 \times 5$$

180 as a product of prime factors is $$2^2 \times 3 \times 5$$

180 as a product of prime factors is $$2^2 \times 3^2 \times 5$$

The HCF of 126, 945 and 189 is 63.  The missing prime factor in the Venn diagram is {{ }}.

Starter Quiz

Complete the statement. A number that is a multiple of two or more numbers is called a multiple.