LCM( 131850, 1758 ) = 131850
Step 1 : Write the given numbers in a horizontal line.
131850 | 1758 |
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 | 131850 | 1758 |
65925 | 879 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 131850 | 1758 |
3 | 65925 | 879 |
3 | 21975 | 293 |
5 | 7325 | 293 |
5 | 1465 | 293 |
293 | 293 | 293 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 131850, 1758 ) = 2 · 3 · 3 · 5 · 5 · 293 = 131850 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.