LCM( 60, 84, 92 ) = 9660
Step 1 : Write the given numbers in a horizontal line.
60 | 84 | 92 |
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 | 60 | 84 | 92 |
30 | 42 | 46 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 60 | 84 | 92 |
2 | 30 | 42 | 46 |
3 | 15 | 21 | 23 |
5 | 5 | 7 | 23 |
7 | 1 | 7 | 23 |
23 | 1 | 1 | 23 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 60, 84, 92 ) = 2 · 2 · 3 · 5 · 7 · 23 = 9660 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.