Find Least Common Multiple of 83 and 291 using prime factorisation method.
Answer
LCM( 83, 291 ) = 24153
Explanation
Step 1: Write down factorisation of each number:
83 = 83
291 = 3 · 97
Step 2 : Match primes vertically:
| 83 | = | 83 | ||||
| 291 | = | 3 | · | 97 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 83 | = | 83 | ||||||
| 291 | = | 3 | · | 97 | ||||
| LCM | = | 3 | · | 83 | · | 97 | = | 24153 |
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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