Find Least Common Multiple of 207 and 138 using prime factorisation method.
Answer
LCM( 207, 138 ) = 414
Explanation
Step 1: Write down factorisation of each number:
207 = 3 · 3 · 23
138 = 2 · 3 · 23
Step 2 : Match primes vertically:
| 207 | = | 3 | · | 3 | · | 23 | ||
| 138 | = | 2 | · | 3 | · | 23 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 207 | = | 3 | · | 3 | · | 23 | ||||
| 138 | = | 2 | · | 3 | · | 23 | ||||
| LCM | = | 2 | · | 3 | · | 3 | · | 23 | = | 414 |
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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