Find Least Common Multiple of 197 and 346 using prime factorisation method.
Answer
LCM( 197, 346 ) = 68162
Explanation
Step 1: Write down factorisation of each number:
197 = 197
346 = 2 · 173
Step 2 : Match primes vertically:
| 197 | = | 197 | ||||
| 346 | = | 2 | · | 173 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 197 | = | 197 | ||||||
| 346 | = | 2 | · | 173 | ||||
| LCM | = | 2 | · | 173 | · | 197 | = | 68162 |
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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