LCM( 1742, 6898320 ) = 6898320
Step 1 : Write the given numbers in a horizontal line.
1742 | 6898320 |
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 | 1742 | 6898320 |
871 | 3449160 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1742 | 6898320 |
2 | 871 | 3449160 |
2 | 871 | 1724580 |
2 | 871 | 862290 |
3 | 871 | 431145 |
3 | 871 | 143715 |
5 | 871 | 47905 |
11 | 871 | 9581 |
13 | 871 | 871 |
67 | 67 | 67 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1742, 6898320 ) = 2 · 2 · 2 · 2 · 3 · 3 · 5 · 11 · 13 · 67 = 6898320 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.