Find Least Common Multiple of 259 and 350 using prime factorisation method.
Answer
LCM( 259, 350 ) = 12950
Explanation
Step 1: Write down factorisation of each number:
259 = 7 · 37
350 = 2 · 5 · 5 · 7
Step 2 : Match primes vertically:
| 259 | = | 7 | · | 37 | ||||||
| 350 | = | 2 | · | 5 | · | 5 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 259 | = | 7 | · | 37 | ||||||||
| 350 | = | 2 | · | 5 | · | 5 | · | 7 | ||||
| LCM | = | 2 | · | 5 | · | 5 | · | 7 | · | 37 | = | 12950 |
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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