Finding LCM and HCF with Factors

Find the prime factorisation of 36 and 60. Using a Venn diagram, what is the highest common factor (HCF) of 36 and 60?

• 6

• 12

• 18

• 24

The numbers 45 and 75 are to be placed in a Venn diagram using their prime factors. What is the lowest common multiple (LCM) of 45 and 75?

• 135

• 225

• 375

• 900

Which of the following is the correct prime factorisation of 84?

• 36

• 48

• 72

• 144

If the HCF of two numbers is 8 and their LCM is 120, which of the following could be the two numbers?

• 8 and 15

• 16 and 60

• 24 and 40

• 8 and 120

Using a Venn diagram, what is the HCF of 56 and 98?

• 7

• 14

• 28

• 49

• 90

• 120

• 150

• 180

Which Venn diagram correctly shows the prime factors of 20 and 32?

• 18

• 24

• 30

• 36

Using prime factorisation and a Venn diagram, what is the LCM of 14 and 35?

• 49

• 70

• 140

• 245