Question
Find Least Common Multiple of 299 and 248 using prime factorisation method.
Answer
LCM( 299, 248 ) = 74152
Explanation
Step 1: Write down factorisation of each number:
299 = 13 · 23
248 = 2 · 2 · 2 · 31
Step 2 : Match primes vertically:
| 299 | = | 13 | · | 23 | ||||||||
| 248 | = | 2 | · | 2 | · | 2 | · | 31 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 299 | = | 13 | · | 23 | ||||||||||
| 248 | = | 2 | · | 2 | · | 2 | · | 31 | ||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 13 | · | 23 | · | 31 | = | 74152 |
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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