LCM( 50982, 1758 ) = 50982
Step 1 : Write the given numbers in a horizontal line.
| 50982 | 1758 |
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 | 50982 | 1758 |
| 25491 | 879 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 50982 | 1758 |
| 3 | 25491 | 879 |
| 29 | 8497 | 293 |
| 293 | 293 | 293 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 50982, 1758 ) = 2 · 3 · 29 · 293 = 50982 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.