# Applying LCM and HCF

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.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Find 28 as the product of its prime factors.

1/4

Q2.True or False, Number A and B are 28 and 42?

2/4

Q3.What is the HCF of 28 and 42?

3/4

Q4.What is the HCF of 48 and 72?

4/4

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.Find 28 as the product of its prime factors.

1/4

Q2.True or False, Number A and B are 28 and 42?

2/4

Q3.What is the HCF of 28 and 42?

3/4

Q4.What is the HCF of 48 and 72?

4/4

# Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

• Click "Close Video"
• Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

# Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Applying LCM and HCF

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.Which number is missing from this prime factor tree?

1/4

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?

2/4

Q3.What is the smallest number of identical squares that will fit in this rectangle?

3/4

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?

4/4

#### Unit quizzes are being retired in August 2023

Why we're removing unit quizzes from the website >
Quiz:

# Applying LCM and HCF

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.Which number is missing from this prime factor tree?

1/4

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?

2/4

Q3.What is the smallest number of identical squares that will fit in this rectangle?

3/4

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?

4/4

# Lesson summary: Applying LCM and HCF

## Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Jog

On the spot:
Chair yoga