Question
Find Least Common Multiple of 252, 308 and 198 using prime factorisation method.
Answer
LCM( 252, 308, 198 ) = 2772
Explanation
Step 1: Write down factorisation of each number:
252 = 2 · 2 · 3 · 3 · 7
308 = 2 · 2 · 7 · 11
198 = 2 · 3 · 3 · 11
Step 2 : Match primes vertically:
| 252 | = | 2 | · | 2 | · | 3 | · | 3 | · | 7 | ||
| 308 | = | 2 | · | 2 | · | 7 | · | 11 | ||||
| 198 | = | 2 | · | 3 | · | 3 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 252 | = | 2 | · | 2 | · | 3 | · | 3 | · | 7 | ||||
| 308 | = | 2 | · | 2 | · | 7 | · | 11 | ||||||
| 198 | = | 2 | · | 3 | · | 3 | · | 11 | ||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 7 | · | 11 | = | 2772 |
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