LCM( 1755, 8058960 ) = 8058960
Step 1 : Write the given numbers in a horizontal line.
1755 | 8058960 |
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 | 1755 | 8058960 |
1755 | 4029480 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1755 | 8058960 |
2 | 1755 | 4029480 |
2 | 1755 | 2014740 |
2 | 1755 | 1007370 |
3 | 1755 | 503685 |
3 | 585 | 167895 |
3 | 195 | 55965 |
5 | 65 | 18655 |
7 | 13 | 3731 |
13 | 13 | 533 |
41 | 1 | 41 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1755, 8058960 ) = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 5 · 7 · 13 · 41 = 8058960 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.