Question
Find Least Common Multiple of 27 and 3569 using prime factorisation method.
Answer
LCM( 27, 3569 ) = 96363
Explanation
Step 1: Write down factorisation of each number:
27 = 3 · 3 · 3
3569 = 43 · 83
Step 2 : Match primes vertically:
| 27 | = | 3 | · | 3 | · | 3 | ||||
| 3569 | = | 43 | · | 83 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 27 | = | 3 | · | 3 | · | 3 | ||||||
| 3569 | = | 43 | · | 83 | ||||||||
| LCM | = | 3 | · | 3 | · | 3 | · | 43 | · | 83 | = | 96363 |
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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