LCM( 861, 1353 ) = 9471
Step 1 : Write the given numbers in a horizontal line.
861 | 1353 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 3.
(if any number is not divisible by 3, write it down unchanged)
3 | 861 | 1353 |
287 | 451 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
3 | 861 | 1353 |
7 | 287 | 451 |
11 | 41 | 451 |
41 | 41 | 41 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 861, 1353 ) = 3 · 7 · 11 · 41 = 9471 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.