LCM( 92, 104, 130 ) = 11960
Step 1 : Write the given numbers in a horizontal line.
92 | 104 | 130 |
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 | 92 | 104 | 130 |
46 | 52 | 65 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 92 | 104 | 130 |
2 | 46 | 52 | 65 |
2 | 23 | 26 | 65 |
5 | 23 | 13 | 65 |
13 | 23 | 13 | 13 |
23 | 23 | 1 | 1 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 92, 104, 130 ) = 2 · 2 · 2 · 5 · 13 · 23 = 11960 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.