Find Least Common Multiple of 340 and 259 using prime factorisation method.
Answer
LCM( 340, 259 ) = 88060
Explanation
Step 1: Write down factorisation of each number:
340 = 2 · 2 · 5 · 17
259 = 7 · 37
Step 2 : Match primes vertically:
| 340 | = | 2 | · | 2 | · | 5 | · | 17 | ||||
| 259 | = | 7 | · | 37 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 340 | = | 2 | · | 2 | · | 5 | · | 17 | ||||||
| 259 | = | 7 | · | 37 | ||||||||||
| LCM | = | 2 | · | 2 | · | 5 | · | 7 | · | 17 | · | 37 | = | 88060 |
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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