LCM( 190, 266 ) = 1330
Step 1 : Write the given numbers in a horizontal line.
190 | 266 |
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 | 190 | 266 |
95 | 133 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 190 | 266 |
5 | 95 | 133 |
7 | 19 | 133 |
19 | 19 | 19 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 190, 266 ) = 2 · 5 · 7 · 19 = 1330 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.