LCM( 1720, 337649760 ) = 337649760
Step 1 : Write the given numbers in a horizontal line.
1720 | 337649760 |
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 | 1720 | 337649760 |
860 | 168824880 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1720 | 337649760 |
2 | 860 | 168824880 |
2 | 430 | 84412440 |
2 | 215 | 42206220 |
2 | 215 | 21103110 |
3 | 215 | 10551555 |
3 | 215 | 3517185 |
5 | 215 | 1172395 |
7 | 43 | 234479 |
19 | 43 | 33497 |
41 | 43 | 1763 |
43 | 43 | 43 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1720, 337649760 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5 · 7 · 19 · 41 · 43 = 337649760 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.