Find Least Common Multiple of 84 and 204 using prime factorisation method.
Answer
LCM( 84, 204 ) = 1428
Explanation
Step 1: Write down factorisation of each number:
84 = 2 · 2 · 3 · 7
204 = 2 · 2 · 3 · 17
Step 2 : Match primes vertically:
| 84 | = | 2 | · | 2 | · | 3 | · | 7 | ||
| 204 | = | 2 | · | 2 | · | 3 | · | 17 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 84 | = | 2 | · | 2 | · | 3 | · | 7 | ||||
| 204 | = | 2 | · | 2 | · | 3 | · | 17 | ||||
| LCM | = | 2 | · | 2 | · | 3 | · | 7 | · | 17 | = | 1428 |
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