LCM( 908, 682, 672 ) = 52017504
Step 1 : Write the given numbers in a horizontal line.
908 | 682 | 672 |
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 | 908 | 682 | 672 |
454 | 341 | 336 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 908 | 682 | 672 |
2 | 454 | 341 | 336 |
2 | 227 | 341 | 168 |
2 | 227 | 341 | 84 |
2 | 227 | 341 | 42 |
3 | 227 | 341 | 21 |
7 | 227 | 341 | 7 |
11 | 227 | 341 | 1 |
31 | 227 | 31 | 1 |
227 | 227 | 1 | 1 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 908, 682, 672 ) = 2 · 2 · 2 · 2 · 2 · 3 · 7 · 11 · 31 · 227 = 52017504 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.