LCM( 1766, 317752848 ) = 317752848
Step 1 : Write the given numbers in a horizontal line.
1766 | 317752848 |
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 | 317752848 |
883 | 158876424 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1766 | 317752848 |
2 | 883 | 158876424 |
2 | 883 | 79438212 |
2 | 883 | 39719106 |
3 | 883 | 19859553 |
3 | 883 | 6619851 |
3 | 883 | 2206617 |
7 | 883 | 735539 |
7 | 883 | 105077 |
17 | 883 | 15011 |
883 | 883 | 883 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1766, 317752848 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 7 · 7 · 17 · 883 = 317752848 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.