LCM( 1734, 1075080 ) = 1075080
Step 1 : Write the given numbers in a horizontal line.
1734 | 1075080 |
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 | 1734 | 1075080 |
867 | 537540 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1734 | 1075080 |
2 | 867 | 537540 |
2 | 867 | 268770 |
3 | 867 | 134385 |
5 | 289 | 44795 |
17 | 289 | 8959 |
17 | 17 | 527 |
31 | 1 | 31 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1734, 1075080 ) = 2 · 2 · 2 · 3 · 5 · 17 · 17 · 31 = 1075080 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.