LCM( 99, 27 ) = 297
Step 1 : Write the given numbers in a horizontal line.
99 | 27 |
Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 3.
(if any number is not divisible by 3, write it down unchanged)
3 | 99 | 27 |
33 | 9 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
3 | 99 | 27 |
3 | 33 | 9 |
3 | 11 | 3 |
11 | 11 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 99, 27 ) = 3 · 3 · 3 · 11 = 297 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.