Question
Find Least Common Multiple of 323 and 153 using prime factorisation method.
Answer
LCM( 323, 153 ) = 2907
Explanation
Step 1: Write down factorisation of each number:
323 = 17 · 19
153 = 3 · 3 · 17
Step 2 : Match primes vertically:
| 323 | = | 17 | · | 19 | ||||
| 153 | = | 3 | · | 3 | · | 17 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 323 | = | 17 | · | 19 | ||||||
| 153 | = | 3 | · | 3 | · | 17 | ||||
| LCM | = | 3 | · | 3 | · | 17 | · | 19 | = | 2907 |
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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