HCF or LCM | Maths | Quizalize & Oak National Academy

Starter quiz

What does the M stand for in LCM?
- 'multiple' ✓
Which of the following is not a multiple of $2^2\times3\times5$ ?
- $2^3\times3^2\times5^3$
- $2\times3^2\times5^3$ ✓
- $2^4\times3\times5^3$
- $2^5\times3^2\times5^3\times7$
Given $12 = 2^2\times3$ , write 84 as a product of its prime factors.
- $2^2\times3\times5$
- $2^2\times3\times7$ ✓
- $2^2\times3^2\times7$
- $2^2\times3^2$
The LCM of 54 and 90 is ______
- '270' ✓
The LCM of 70 and 42 is 210. The missing prime factor in the Venn diagram is ______
- '2' ✓
The LCM of 6, 10 and 42 is ______
- '210' ✓

What does HCF stand for?
- 'highest common factor' ✓
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?
- '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.
- '24' ✓
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?
- 2
- 3 ✓
- 4
- 5
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?
- Find the LCM. ✓
- Find the HCF
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? ______
- '60' ✓

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It may be necessary to find the HCF in real world situations
It may be necessary to find the LCM in real world situations
It is important to identify which of the LCM and HCF are needed in real world situations
The LCM and HCF can be found in a variety of different contexts

When using a Venn diagram students often mix up HCF & LCM.

Encourage students to check the reasonableness of their answer.