LCM( 1766, 579431664 ) = 579431664
Step 1 : Write the given numbers in a horizontal line.
| 1766 | 579431664 |
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 | 1766 | 579431664 |
| 883 | 289715832 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 1766 | 579431664 |
| 2 | 883 | 289715832 |
| 2 | 883 | 144857916 |
| 2 | 883 | 72428958 |
| 3 | 883 | 36214479 |
| 3 | 883 | 12071493 |
| 3 | 883 | 4023831 |
| 7 | 883 | 1341277 |
| 7 | 883 | 191611 |
| 31 | 883 | 27373 |
| 883 | 883 | 883 |
| 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 579431664 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 7 · 7 · 31 · 883 = 579431664 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.