LCM( 82, 53, 54 ) = 117342
Step 1 : Write the given numbers in a horizontal line.
82 | 53 | 54 |
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 | 82 | 53 | 54 |
41 | 53 | 27 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 82 | 53 | 54 |
3 | 41 | 53 | 27 |
3 | 41 | 53 | 9 |
3 | 41 | 53 | 3 |
41 | 41 | 53 | 1 |
53 | 1 | 53 | 1 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 82, 53, 54 ) = 2 · 3 · 3 · 3 · 41 · 53 = 117342 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.