LCM( 1441440, 1760 ) = 1441440
Step 1 : Write the given numbers in a horizontal line.
| 1441440 | 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 | 1441440 | 1760 |
| 720720 | 880 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 1441440 | 1760 |
| 2 | 720720 | 880 |
| 2 | 360360 | 440 |
| 2 | 180180 | 220 |
| 2 | 90090 | 110 |
| 3 | 45045 | 55 |
| 3 | 15015 | 55 |
| 5 | 5005 | 55 |
| 7 | 1001 | 11 |
| 11 | 143 | 11 |
| 13 | 13 | 1 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1441440, 1760 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5 · 7 · 11 · 13 = 1441440 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.