LCM( 1265, 6375600 ) = 6375600
Step 1 : Write the given numbers in a horizontal line.
1265 | 6375600 |
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 | 1265 | 6375600 |
1265 | 3187800 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1265 | 6375600 |
2 | 1265 | 3187800 |
2 | 1265 | 1593900 |
2 | 1265 | 796950 |
3 | 1265 | 398475 |
3 | 1265 | 132825 |
5 | 1265 | 44275 |
5 | 253 | 8855 |
7 | 253 | 1771 |
11 | 253 | 253 |
23 | 23 | 23 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1265, 6375600 ) = 2 · 2 · 2 · 2 · 3 · 3 · 5 · 5 · 7 · 11 · 23 = 6375600 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.