LCM( 4347200, 1760 ) = 4347200
Step 1 : Write the given numbers in a horizontal line.
| 4347200 | 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 | 4347200 | 1760 |
| 2173600 | 880 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 4347200 | 1760 |
| 2 | 2173600 | 880 |
| 2 | 1086800 | 440 |
| 2 | 543400 | 220 |
| 2 | 271700 | 110 |
| 2 | 135850 | 55 |
| 5 | 67925 | 55 |
| 5 | 13585 | 11 |
| 11 | 2717 | 11 |
| 13 | 247 | 1 |
| 19 | 19 | 1 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 4347200, 1760 ) = 2 · 2 · 2 · 2 · 2 · 2 · 5 · 5 · 11 · 13 · 19 = 4347200 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.