LCM( 534, 801, 1335 ) = 8010
Step 1 : Write the given numbers in a horizontal line.
534 | 801 | 1335 |
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 | 534 | 801 | 1335 |
267 | 801 | 1335 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 534 | 801 | 1335 |
3 | 267 | 801 | 1335 |
3 | 89 | 267 | 445 |
5 | 89 | 89 | 445 |
89 | 89 | 89 | 89 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 534, 801, 1335 ) = 2 · 3 · 3 · 5 · 89 = 8010 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.