LCM( 1709, 542334060 ) = 542334060
Step 1 : Write the given numbers in a horizontal line.
1709 | 542334060 |
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 | 1709 | 542334060 |
1709 | 271167030 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1709 | 542334060 |
2 | 1709 | 271167030 |
3 | 1709 | 135583515 |
3 | 1709 | 45194505 |
5 | 1709 | 15064835 |
41 | 1709 | 3012967 |
43 | 1709 | 73487 |
1709 | 1709 | 1709 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1709, 542334060 ) = 2 · 2 · 3 · 3 · 5 · 41 · 43 · 1709 = 542334060 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.