Find Least Common Multiple of 203 and 434 using prime factorisation method.
Answer
LCM( 203, 434 ) = 12586
Explanation
Step 1: Write down factorisation of each number:
203 = 7 · 29
434 = 2 · 7 · 31
Step 2 : Match primes vertically:
| 203 | = | 7 | · | 29 | ||||
| 434 | = | 2 | · | 7 | · | 31 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 203 | = | 7 | · | 29 | ||||||
| 434 | = | 2 | · | 7 | · | 31 | ||||
| LCM | = | 2 | · | 7 | · | 29 | · | 31 | = | 12586 |
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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