LCM( 373615200, 1765 ) = 373615200
Step 1 : Write the given numbers in a horizontal line.
373615200 | 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 | 373615200 | 1765 |
186807600 | 1765 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 373615200 | 1765 |
2 | 186807600 | 1765 |
2 | 93403800 | 1765 |
2 | 46701900 | 1765 |
2 | 23350950 | 1765 |
3 | 11675475 | 1765 |
3 | 3891825 | 1765 |
3 | 1297275 | 1765 |
5 | 432425 | 1765 |
5 | 86485 | 353 |
7 | 17297 | 353 |
7 | 2471 | 353 |
353 | 353 | 353 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 373615200, 1765 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 3 · 5 · 5 · 7 · 7 · 353 = 373615200 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.