# Applying LCM and HCF

## Lesson details

### Key learning points

1. In this lesson, we will answer problem solving questions involving determining the lowest common multiple and highest common factor of two integers. We will model solutions to a range of problems including worded questions.

### Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

## Video

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## Worksheet

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## Starter quiz

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### 4 Questions

Q1.
Find 28 as the product of its prime factors.
A
B
C
Q2.
True or False, Number A and B are 28 and 42?
False
Q3.
What is the HCF of 28 and 42?
B
C
D
Q4.
What is the HCF of 48 and 72?
12
14
32
Others

## Exit quiz

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### 4 Questions

Q1.
Which number is missing from this prime factor tree?
16
6
7
Q2.
There are 30 cups in a packet. There are 12 plates in a packet. Amir buys exactly the same number of cups and plates. What is the smallest number of each packet Amir can buy?
2 packets of cups and 12 packets of plates
2 packets of cups and 3 packets of plates
Correct answer: 2 packets of cups and 5 packets of plates
4 packets of cups and 3 packets of plates
Q3.
What is the smallest number of identical squares that will fit in this rectangle?
360
3600
9
Q4.
The HCF of two numbers is 6. If the LCM is 42 find the two numbers. You could use a Venn diagram to help. I've started this one for you . . . can you finish it?