LCM( 625, 1464 ) = 915000
Step 1 : Write the given numbers in a horizontal line.
625 | 1464 |
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 | 625 | 1464 |
625 | 732 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 625 | 1464 |
2 | 625 | 732 |
2 | 625 | 366 |
3 | 625 | 183 |
5 | 625 | 61 |
5 | 125 | 61 |
5 | 25 | 61 |
5 | 5 | 61 |
61 | 1 | 61 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 625, 1464 ) = 2 · 2 · 2 · 3 · 5 · 5 · 5 · 5 · 61 = 915000 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.