LCM( 91, 92, 93 ) = 778596
Step 1 : Write the given numbers in a horizontal line.
91 | 92 | 93 |
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 | 91 | 92 | 93 |
91 | 46 | 93 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 91 | 92 | 93 |
2 | 91 | 46 | 93 |
3 | 91 | 23 | 93 |
7 | 91 | 23 | 31 |
13 | 13 | 23 | 31 |
23 | 1 | 23 | 31 |
31 | 1 | 1 | 31 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 91, 92, 93 ) = 2 · 2 · 3 · 7 · 13 · 23 · 31 = 778596 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.