LCM( 1721, 8828730 ) = 8828730
Step 1 : Write the given numbers in a horizontal line.
1721 | 8828730 |
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 | 1721 | 8828730 |
1721 | 4414365 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1721 | 8828730 |
3 | 1721 | 4414365 |
3 | 1721 | 1471455 |
3 | 1721 | 490485 |
5 | 1721 | 163495 |
19 | 1721 | 32699 |
1721 | 1721 | 1721 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1721, 8828730 ) = 2 · 3 · 3 · 3 · 5 · 19 · 1721 = 8828730 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.