LCM( 158, 200 ) = 15800
Step 1 : Write the given numbers in a horizontal line.
158 | 200 |
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 | 200 |
79 | 100 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 158 | 200 |
2 | 79 | 100 |
2 | 79 | 50 |
5 | 79 | 25 |
5 | 79 | 5 |
79 | 79 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 158, 200 ) = 2 · 2 · 2 · 5 · 5 · 79 = 15800 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.