Find Least Common Multiple of 46 and 82 using prime factorisation method.
Answer
LCM( 46, 82 ) = 1886
Explanation
Step 1: Write down factorisation of each number:
46 = 2 · 23
82 = 2 · 41
Step 2 : Match primes vertically:
| 46 | = | 2 | · | 23 | ||
| 82 | = | 2 | · | 41 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 46 | = | 2 | · | 23 | ||||
| 82 | = | 2 | · | 41 | ||||
| LCM | = | 2 | · | 23 | · | 41 | = | 1886 |
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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