Find Least Common Multiple of 231 and 245 using prime factorisation method.
Answer
LCM( 231, 245 ) = 8085
Explanation
Step 1: Write down factorisation of each number:
231 = 3 · 7 · 11
245 = 5 · 7 · 7
Step 2 : Match primes vertically:
| 231 | = | 3 | · | 7 | · | 11 | ||||
| 245 | = | 5 | · | 7 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 231 | = | 3 | · | 7 | · | 11 | ||||||
| 245 | = | 5 | · | 7 | · | 7 | ||||||
| LCM | = | 3 | · | 5 | · | 7 | · | 7 | · | 11 | = | 8085 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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