LCM( 325, 1544 ) = 501800
Step 1 : Write the given numbers in a horizontal line.
325 | 1544 |
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 | 325 | 1544 |
325 | 772 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 325 | 1544 |
2 | 325 | 772 |
2 | 325 | 386 |
5 | 325 | 193 |
5 | 65 | 193 |
13 | 13 | 193 |
193 | 1 | 193 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 325, 1544 ) = 2 · 2 · 2 · 5 · 5 · 13 · 193 = 501800 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.