Find Least Common Multiple of 243 and 81 using prime factorisation method.
Answer
LCM( 243, 81 ) = 243
Explanation
Step 1: Write down factorisation of each number:
243 = 3 · 3 · 3 · 3 · 3
81 = 3 · 3 · 3 · 3
Step 2 : Match primes vertically:
| 243 | = | 3 | · | 3 | · | 3 | · | 3 | · | 3 |
| 81 | = | 3 | · | 3 | · | 3 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 243 | = | 3 | · | 3 | · | 3 | · | 3 | · | 3 | ||
| 81 | = | 3 | · | 3 | · | 3 | · | 3 | ||||
| LCM | = | 3 | · | 3 | · | 3 | · | 3 | · | 3 | = | 243 |
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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