Find Least Common Multiple of 15, 6 and 14 using prime factorisation method.
Answer
LCM( 15, 6, 14 ) = 210
Explanation
Step 1: Write down factorisation of each number:
15 = 3 · 5
6 = 2 · 3
14 = 2 · 7
Step 2 : Match primes vertically:
| 15 | = | 3 | · | 5 | ||||
| 6 | = | 2 | · | 3 | ||||
| 14 | = | 2 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 15 | = | 3 | · | 5 | ||||||
| 6 | = | 2 | · | 3 | ||||||
| 14 | = | 2 | · | 7 | ||||||
| LCM | = | 2 | · | 3 | · | 5 | · | 7 | = | 210 |
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