Question
Find Least Common Multiple of 3, 135 and 24 using prime factorisation method.
Answer
LCM( 3, 135, 24 ) = 1080
Explanation
Step 1: Write down factorisation of each number:
3 = 3
135 = 3 · 3 · 3 · 5
24 = 2 · 2 · 2 · 3
Step 2 : Match primes vertically:
| 3 | = | 3 | ||||||||||||
| 135 | = | 3 | · | 3 | · | 3 | · | 5 | ||||||
| 24 | = | 2 | · | 2 | · | 2 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 3 | = | 3 | ||||||||||||||
| 135 | = | 3 | · | 3 | · | 3 | · | 5 | ||||||||
| 24 | = | 2 | · | 2 | · | 2 | · | 3 | ||||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 3 | · | 5 | = | 1080 |
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