Find Least Common Multiple of 2, 6 and 51 using prime factorisation method.
Answer
LCM( 2, 6, 51 ) = 102
Explanation
Step 1: Write down factorisation of each number:
2 = 2
6 = 2 · 3
51 = 3 · 17
Step 2 : Match primes vertically:
| 2 | = | 2 | ||||
| 6 | = | 2 | · | 3 | ||
| 51 | = | 3 | · | 17 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 2 | = | 2 | ||||||
| 6 | = | 2 | · | 3 | ||||
| 51 | = | 3 | · | 17 | ||||
| LCM | = | 2 | · | 3 | · | 17 | = | 102 |
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