LCM( 2965200, 1765 ) = 2965200
Step 1 : Write the given numbers in a horizontal line.
2965200 | 1765 |
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 | 2965200 | 1765 |
1482600 | 1765 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 2965200 | 1765 |
2 | 1482600 | 1765 |
2 | 741300 | 1765 |
2 | 370650 | 1765 |
3 | 185325 | 1765 |
5 | 61775 | 1765 |
5 | 12355 | 353 |
7 | 2471 | 353 |
353 | 353 | 353 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 2965200, 1765 ) = 2 · 2 · 2 · 2 · 3 · 5 · 5 · 7 · 353 = 2965200 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.