Question
Find Least Common Multiple of 499 and 49 using prime factorisation method.
Answer
LCM( 499, 49 ) = 24451
Explanation
Step 1: Write down factorisation of each number:
499 = 499
49 = 7 · 7
Step 2 : Match primes vertically:
| 499 | = | 499 | ||||
| 49 | = | 7 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 499 | = | 499 | ||||||
| 49 | = | 7 | · | 7 | ||||
| LCM | = | 7 | · | 7 | · | 499 | = | 24451 |
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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