Find Least Common Multiple of 409 and 208 using prime factorisation method.
Answer
LCM( 409, 208 ) = 85072
Explanation
Step 1: Write down factorisation of each number:
409 = 409
208 = 2 · 2 · 2 · 2 · 13
Step 2 : Match primes vertically:
| 409 | = | 409 | ||||||||||
| 208 | = | 2 | · | 2 | · | 2 | · | 2 | · | 13 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 409 | = | 409 | ||||||||||||
| 208 | = | 2 | · | 2 | · | 2 | · | 2 | · | 13 | ||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 13 | · | 409 | = | 85072 |
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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