Question
Find Least Common Multiple of 2923 and 3239 using prime factorisation method.
Answer
LCM( 2923, 3239 ) = 119843
Explanation
Step 1: Write down factorisation of each number:
2923 = 37 · 79
3239 = 41 · 79
Step 2 : Match primes vertically:
| 2923 | = | 37 | · | 79 | ||
| 3239 | = | 41 | · | 79 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 2923 | = | 37 | · | 79 | ||||
| 3239 | = | 41 | · | 79 | ||||
| LCM | = | 37 | · | 41 | · | 79 | = | 119843 |
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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