Find Least Common Multiple of 306 and 657 using prime factorisation method.
Answer
LCM( 306, 657 ) = 22338
Explanation
Step 1: Write down factorisation of each number:
306 = 2 · 3 · 3 · 17
657 = 3 · 3 · 73
Step 2 : Match primes vertically:
| 306 | = | 2 | · | 3 | · | 3 | · | 17 | ||
| 657 | = | 3 | · | 3 | · | 73 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 306 | = | 2 | · | 3 | · | 3 | · | 17 | ||||
| 657 | = | 3 | · | 3 | · | 73 | ||||||
| LCM | = | 2 | · | 3 | · | 3 | · | 17 | · | 73 | = | 22338 |
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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