LCM( 21991200, 1760 ) = 21991200
Step 1 : Write the given numbers in a horizontal line.
| 21991200 | 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 | 21991200 | 1760 |
| 10995600 | 880 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 21991200 | 1760 |
| 2 | 10995600 | 880 |
| 2 | 5497800 | 440 |
| 2 | 2748900 | 220 |
| 2 | 1374450 | 110 |
| 3 | 687225 | 55 |
| 5 | 229075 | 55 |
| 5 | 45815 | 11 |
| 7 | 9163 | 11 |
| 7 | 1309 | 11 |
| 11 | 187 | 11 |
| 17 | 17 | 1 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 21991200, 1760 ) = 2 · 2 · 2 · 2 · 2 · 3 · 5 · 5 · 7 · 7 · 11 · 17 = 21991200 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.