Find Least Common Multiple of 3892 and 8296 using prime factorisation method.
Answer
LCM( 3892, 8296 ) = 8072008
Explanation
Step 1: Write down factorisation of each number:
3892 = 2 · 2 · 7 · 139
8296 = 2 · 2 · 2 · 17 · 61
Step 2 : Match primes vertically:
| 3892 | = | 2 | · | 2 | · | 7 | · | 139 | ||||||
| 8296 | = | 2 | · | 2 | · | 2 | · | 17 | · | 61 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 3892 | = | 2 | · | 2 | · | 7 | · | 139 | ||||||||
| 8296 | = | 2 | · | 2 | · | 2 | · | 17 | · | 61 | ||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 7 | · | 17 | · | 61 | · | 139 | = | 8072008 |
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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