LCM( 1754, 8682300 ) = 8682300
Step 1 : Write the given numbers in a horizontal line.
1754 | 8682300 |
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 | 1754 | 8682300 |
877 | 4341150 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1754 | 8682300 |
2 | 877 | 4341150 |
3 | 877 | 2170575 |
3 | 877 | 723525 |
5 | 877 | 241175 |
5 | 877 | 48235 |
11 | 877 | 9647 |
877 | 877 | 877 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1754, 8682300 ) = 2 · 2 · 3 · 3 · 5 · 5 · 11 · 877 = 8682300 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.