Question
Find Least Common Multiple of 26 and 338 using prime factorisation method.
Answer
LCM( 26, 338 ) = 338
Explanation
Step 1: Write down factorisation of each number:
26 = 2 · 13
338 = 2 · 13 · 13
Step 2 : Match primes vertically:
| 26 | = | 2 | · | 13 | ||
| 338 | = | 2 | · | 13 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 26 | = | 2 | · | 13 | ||||
| 338 | = | 2 | · | 13 | · | 13 | ||
| LCM | = | 2 | · | 13 | · | 13 | = | 338 |
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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