Question
Find Least Common Multiple of 273 and 81 using prime factorisation method.
Answer
LCM( 273, 81 ) = 7371
Explanation
Step 1: Write down factorisation of each number:
273 = 3 · 7 · 13
81 = 3 · 3 · 3 · 3
Step 2 : Match primes vertically:
| 273 | = | 3 | · | 7 | · | 13 | ||||||
| 81 | = | 3 | · | 3 | · | 3 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 273 | = | 3 | · | 7 | · | 13 | ||||||||
| 81 | = | 3 | · | 3 | · | 3 | · | 3 | ||||||
| LCM | = | 3 | · | 3 | · | 3 | · | 3 | · | 7 | · | 13 | = | 7371 |
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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