LCM( 1737, 45839430 ) = 45839430
Step 1 : Write the given numbers in a horizontal line.
1737 | 45839430 |
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 | 1737 | 45839430 |
1737 | 22919715 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1737 | 45839430 |
3 | 1737 | 22919715 |
3 | 579 | 7639905 |
5 | 193 | 2546635 |
7 | 193 | 509327 |
13 | 193 | 72761 |
29 | 193 | 5597 |
193 | 193 | 193 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1737, 45839430 ) = 2 · 3 · 3 · 5 · 7 · 13 · 29 · 193 = 45839430 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.