Find Least Common Multiple of 84 and 261 using prime factorisation method.
Answer
LCM( 84, 261 ) = 7308
Explanation
Step 1: Write down factorisation of each number:
84 = 2 · 2 · 3 · 7
261 = 3 · 3 · 29
Step 2 : Match primes vertically:
| 84 | = | 2 | · | 2 | · | 3 | · | 7 | ||||
| 261 | = | 3 | · | 3 | · | 29 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 84 | = | 2 | · | 2 | · | 3 | · | 7 | ||||||
| 261 | = | 3 | · | 3 | · | 29 | ||||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 7 | · | 29 | = | 7308 |
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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