LCM( 1705, 613800 ) = 613800
Step 1 : Write the given numbers in a horizontal line.
1705 | 613800 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 2.
(if any number is not divisible by 2, write it down unchanged)
2 | 1705 | 613800 |
1705 | 306900 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1705 | 613800 |
2 | 1705 | 306900 |
2 | 1705 | 153450 |
3 | 1705 | 76725 |
3 | 1705 | 25575 |
5 | 1705 | 8525 |
5 | 341 | 1705 |
11 | 341 | 341 |
31 | 31 | 31 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1705, 613800 ) = 2 · 2 · 2 · 3 · 3 · 5 · 5 · 11 · 31 = 613800 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.