Question
Find Least Common Multiple of 165 and 30 using prime factorisation method.
Answer
LCM( 165, 30 ) = 330
Explanation
Step 1: Write down factorisation of each number:
165 = 3 · 5 · 11
30 = 2 · 3 · 5
Step 2 : Match primes vertically:
| 165 | = | 3 | · | 5 | · | 11 | ||
| 30 | = | 2 | · | 3 | · | 5 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 165 | = | 3 | · | 5 | · | 11 | ||||
| 30 | = | 2 | · | 3 | · | 5 | ||||
| LCM | = | 2 | · | 3 | · | 5 | · | 11 | = | 330 |
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