LCM( 1765, 115939320 ) = 115939320
Step 1 : Write the given numbers in a horizontal line.
1765 | 115939320 |
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 | 1765 | 115939320 |
1765 | 57969660 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1765 | 115939320 |
2 | 1765 | 57969660 |
2 | 1765 | 28984830 |
3 | 1765 | 14492415 |
5 | 1765 | 4830805 |
7 | 353 | 966161 |
17 | 353 | 138023 |
23 | 353 | 8119 |
353 | 353 | 353 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1765, 115939320 ) = 2 · 2 · 2 · 3 · 5 · 7 · 17 · 23 · 353 = 115939320 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.