Find Least Common Multiple of 200905 and 30564 using prime factorisation method.
Answer
LCM( 200905, 30564 ) = 6140460420
Explanation
Step 1: Write down factorisation of each number:
200905 = 5 · 23 · 1747
30564 = 2 · 2 · 3 · 3 · 3 · 283
Step 2 : Match primes vertically:
| 200905 | = | 5 | · | 23 | · | 1747 | ||||||||||||
| 30564 | = | 2 | · | 2 | · | 3 | · | 3 | · | 3 | · | 283 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 200905 | = | 5 | · | 23 | · | 1747 | ||||||||||||||
| 30564 | = | 2 | · | 2 | · | 3 | · | 3 | · | 3 | · | 283 | ||||||||
| LCM | = | 2 | · | 2 | · | 3 | · | 3 | · | 3 | · | 5 | · | 23 | · | 283 | · | 1747 | = | 6140460420 |
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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