LCM( 1762, 2301349680 ) = 2027489068080
Step 1 : Write the given numbers in a horizontal line.
1762 | 2301349680 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 1762.
(if any number is not divisible by 1762, write it down unchanged)
1762 | 1762 | 2301349680 |
1 | 2301349680 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
1762 | 1762 | 2301349680 |
2301349680 | 1 | 2301349680 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1762, 2301349680 ) = 1762 · 2301349680 = 2027489068080 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.