LCM( 186, 244, 340 ) = 1928820
Step 1 : Write the given numbers in a horizontal line.
186 | 244 | 340 |
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 | 186 | 244 | 340 |
93 | 122 | 170 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 186 | 244 | 340 |
2 | 93 | 122 | 170 |
3 | 93 | 61 | 85 |
5 | 31 | 61 | 85 |
17 | 31 | 61 | 17 |
31 | 31 | 61 | 1 |
61 | 1 | 61 | 1 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 186, 244, 340 ) = 2 · 2 · 3 · 5 · 17 · 31 · 61 = 1928820 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.