LCM( 184, 190, 220 ) = 192280
Step 1 : Write the given numbers in a horizontal line.
184 | 190 | 220 |
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 | 184 | 190 | 220 |
92 | 95 | 110 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 184 | 190 | 220 |
2 | 92 | 95 | 110 |
2 | 46 | 95 | 55 |
5 | 23 | 95 | 55 |
11 | 23 | 19 | 11 |
19 | 23 | 19 | 1 |
23 | 23 | 1 | 1 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 184, 190, 220 ) = 2 · 2 · 2 · 5 · 11 · 19 · 23 = 192280 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.