LCM( 1729, 311220 ) = 311220
Step 1 : Write the given numbers in a horizontal line.
1729 | 311220 |
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 | 1729 | 311220 |
1729 | 155610 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1729 | 311220 |
2 | 1729 | 155610 |
3 | 1729 | 77805 |
3 | 1729 | 25935 |
5 | 1729 | 8645 |
7 | 1729 | 1729 |
13 | 247 | 247 |
19 | 19 | 19 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1729, 311220 ) = 2 · 2 · 3 · 3 · 5 · 7 · 13 · 19 = 311220 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.