Lowest common multiple: Venn diagrams

The Maths Habit Handout to print

  1. Find the HCF of 18 and 24.

    6

  2. Write 90 as a product of prime factors.

    2 × 32 × 5

  3. Find the HCF of 45 and 75.

    15

Find a number that is in the 4 times table and the 6 times table. How many can you find?

12, 24, 36, 48, …

Multiple
A number in a times table.
Lowest common multiple
The smallest number that is in both times tables.

12 = 2 × 2 × 3
18 = 2 × 3 × 3

Find the LCM of 8 and 12

Find the LCM of 14 and 20

14 = 2 × 7
20 = 2 × 2 × 5

LCM = 140

Find the LCM of 9 and 15

9 = 3 × 3
15 = 3 × 5

LCM = 45

Find the LCM of 14 and 20

14 = 2 × 7
20 = 2 × 2 × 5

LCM = 140

Find the LCM of 16 and 10

16 = 2 × 2 × 2 × 2
10 = 2 × 5

LCM = 80

Find the LCM of 14 and 20

14 = 2 × 7
20 = 2 × 2 × 5

LCM = 140

Find the LCM of 6 and 10

6 = 2 × 3
10 = 2 × 5

LCM = 30

Find the LCM of 14 and 20

14 = 2 × 7
20 = 2 × 2 × 5

LCM = 140

Find the LCM of 12 and 15

12 = 2 × 2 × 3
15 = 3 × 5

LCM = 60

Find the LCM of 14 and 20

14 = 2 × 7
20 = 2 × 2 × 5

LCM = 140

Find the LCM of 8 and 20

8 = 2 × 2 × 2
20 = 2 × 2 × 5

LCM = 40

HCF and LCM worksheet, page 1

HCF and LCM worksheet, page 2

Answer sheet

  1. Burgers come in packs of 6 and buns come in packs of 8. What is the smallest number of packs of each that gives the same number of burgers and buns?

    4 packs and 3 packs

  2. The lowest common multiple of two numbers is 36. One of them is 12. What could the other be?

    9, 18 or 36

  1. Find the LCM of 6 and 9.

    18

  2. Find the LCM of 12 and 16.

    48

  3. One bell rings every 15 minutes and another every 20 minutes. They ring together at 10:00. When do they next ring together?

    11:00
Exit tickets to print