LCM( 1759, 105645540 ) = 105645540
Step 1 : Write the given numbers in a horizontal line.
1759 | 105645540 |
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 | 1759 | 105645540 |
1759 | 52822770 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1759 | 105645540 |
2 | 1759 | 52822770 |
3 | 1759 | 26411385 |
5 | 1759 | 8803795 |
7 | 1759 | 1760759 |
11 | 1759 | 251537 |
13 | 1759 | 22867 |
1759 | 1759 | 1759 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1759, 105645540 ) = 2 · 2 · 3 · 5 · 7 · 11 · 13 · 1759 = 105645540 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.