HCF or LCM

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

Lowest common multiple

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

Sofia goes to her gran's every 6th day and goes to the park every 8th day.  Sofia wants to know on what day she does both.  Does she need to find the HCF or the LCM?

Sofia goes to her gran's every 6th day and goes to the park every 8th day.  Complete the statement: On the {{ }}th day Sofia does both.

Alex has 12 white flowers, 45 red flowers and 30 yellow flowers.  He wants to make identical bunches.  What is the greatest number of bunches he can make?  

Laura goes to a club every 4 days, Andeep goes every 12 days and Lucas goes every 10 days.  They all went today.  How can you work out how many days it will be until they all go on the same day again?

Laura goes to a club every 4 days, Andeep goes to the club every 12 days and Lucas goes every 10 days.  They all went today.  How many days will it be until they all go on the same day again? {{ }}

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

Given $$12 = 2^2\times3$$, write 84 as a product of its prime factors.

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

Starter Quiz

What does the M stand for in LCM?