LCM( 15855840, 1760 ) = 15855840
Step 1 : Write the given numbers in a horizontal line.
| 15855840 | 1760 |
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 | 15855840 | 1760 |
| 7927920 | 880 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 15855840 | 1760 |
| 2 | 7927920 | 880 |
| 2 | 3963960 | 440 |
| 2 | 1981980 | 220 |
| 2 | 990990 | 110 |
| 3 | 495495 | 55 |
| 3 | 165165 | 55 |
| 5 | 55055 | 55 |
| 7 | 11011 | 11 |
| 11 | 1573 | 11 |
| 11 | 143 | 1 |
| 13 | 13 | 1 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 15855840, 1760 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5 · 7 · 11 · 11 · 13 = 15855840 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.