Find Least Common Multiple of 20, 8 and 5 using prime factorisation method.
Answer
LCM( 20, 8, 5 ) = 40
Explanation
Step 1: Write down factorisation of each number:
20 = 2 · 2 · 5
8 = 2 · 2 · 2
5 = 5
Step 2 : Match primes vertically:
| 20 | = | 2 | · | 2 | · | 5 | ||
| 8 | = | 2 | · | 2 | · | 2 | ||
| 5 | = | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 20 | = | 2 | · | 2 | · | 5 | ||||
| 8 | = | 2 | · | 2 | · | 2 | ||||
| 5 | = | 5 | ||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 5 | = | 40 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
This page was created using
LCM Calculator