LCM( 240, 340, 380 ) = 77520
Step 1 : Write the given numbers in a horizontal line.
240 | 340 | 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 | 240 | 340 | 380 |
120 | 170 | 190 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 240 | 340 | 380 |
2 | 120 | 170 | 190 |
2 | 60 | 85 | 95 |
2 | 30 | 85 | 95 |
3 | 15 | 85 | 95 |
5 | 5 | 85 | 95 |
17 | 1 | 17 | 19 |
19 | 1 | 1 | 19 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 240, 340, 380 ) = 2 · 2 · 2 · 2 · 3 · 5 · 17 · 19 = 77520 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.