Find Least Common Multiple of 231 and 1575 using prime factorisation method.
Answer
LCM( 231, 1575 ) = 17325
Explanation
Step 1: Write down factorisation of each number:
231 = 3 · 7 · 11
1575 = 3 · 3 · 5 · 5 · 7
Step 2 : Match primes vertically:
| 231 | = | 3 | · | 7 | · | 11 | ||||||
| 1575 | = | 3 | · | 3 | · | 5 | · | 5 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 231 | = | 3 | · | 7 | · | 11 | ||||||||
| 1575 | = | 3 | · | 3 | · | 5 | · | 5 | · | 7 | ||||
| LCM | = | 3 | · | 3 | · | 5 | · | 5 | · | 7 | · | 11 | = | 17325 |
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