LCM( 279, 250 ) = 69750
Step 1 : Write the given numbers in a horizontal line.
279 | 250 |
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 | 279 | 250 |
279 | 125 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 279 | 250 |
3 | 279 | 125 |
3 | 93 | 125 |
5 | 31 | 125 |
5 | 31 | 25 |
5 | 31 | 5 |
31 | 31 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 279, 250 ) = 2 · 3 · 3 · 5 · 5 · 5 · 31 = 69750 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.