LCM( 158, 204, 300 ) = 402900
Step 1 : Write the given numbers in a horizontal line.
158 | 204 | 300 |
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 | 158 | 204 | 300 |
79 | 102 | 150 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 158 | 204 | 300 |
2 | 79 | 102 | 150 |
3 | 79 | 51 | 75 |
5 | 79 | 17 | 25 |
5 | 79 | 17 | 5 |
17 | 79 | 17 | 1 |
79 | 79 | 1 | 1 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 158, 204, 300 ) = 2 · 2 · 3 · 5 · 5 · 17 · 79 = 402900 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.