Question
Find Least Common Multiple of 2401 and 2 using prime factorisation method.
Answer
LCM( 2401, 2 ) = 4802
Explanation
Step 1: Write down factorisation of each number:
2401 = 7 · 7 · 7 · 7
2 = 2
Step 2 : Match primes vertically:
| 2401 | = | 7 | · | 7 | · | 7 | · | 7 | ||
| 2 | = | 2 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 2401 | = | 7 | · | 7 | · | 7 | · | 7 | ||||
| 2 | = | 2 | ||||||||||
| LCM | = | 2 | · | 7 | · | 7 | · | 7 | · | 7 | = | 4802 |
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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