LCM( 264, 320, 380 ) = 200640
Step 1 : Write the given numbers in a horizontal line.
264 | 320 | 380 |
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 | 264 | 320 | 380 |
132 | 160 | 190 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 264 | 320 | 380 |
2 | 132 | 160 | 190 |
2 | 66 | 80 | 95 |
2 | 33 | 40 | 95 |
2 | 33 | 20 | 95 |
2 | 33 | 10 | 95 |
3 | 33 | 5 | 95 |
5 | 11 | 5 | 95 |
11 | 11 | 1 | 19 |
19 | 1 | 1 | 19 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 264, 320, 380 ) = 2 · 2 · 2 · 2 · 2 · 2 · 3 · 5 · 11 · 19 = 200640 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.