LCM( 1759, 231090384 ) = 231090384
Step 1 : Write the given numbers in a horizontal line.
| 1759 | 231090384 |
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 | 1759 | 231090384 |
| 1759 | 115545192 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 1759 | 231090384 |
| 2 | 1759 | 115545192 |
| 2 | 1759 | 57772596 |
| 2 | 1759 | 28886298 |
| 3 | 1759 | 14443149 |
| 7 | 1759 | 4814383 |
| 17 | 1759 | 687769 |
| 23 | 1759 | 40457 |
| 1759 | 1759 | 1759 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1759, 231090384 ) = 2 · 2 · 2 · 2 · 3 · 7 · 17 · 23 · 1759 = 231090384 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.