LCM( 1758, 33823920 ) = 33823920
Step 1 : Write the given numbers in a horizontal line.
1758 | 33823920 |
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 | 1758 | 33823920 |
879 | 16911960 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1758 | 33823920 |
2 | 879 | 16911960 |
2 | 879 | 8455980 |
2 | 879 | 4227990 |
3 | 879 | 2113995 |
5 | 293 | 704665 |
13 | 293 | 140933 |
37 | 293 | 10841 |
293 | 293 | 293 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1758, 33823920 ) = 2 · 2 · 2 · 2 · 3 · 5 · 13 · 37 · 293 = 33823920 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.