LCM( 1707, 2965694004 ) = 2965694004
Step 1 : Write the given numbers in a horizontal line.
1707 | 2965694004 |
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 | 1707 | 2965694004 |
1707 | 1482847002 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1707 | 2965694004 |
2 | 1707 | 1482847002 |
3 | 1707 | 741423501 |
3 | 569 | 247141167 |
7 | 569 | 82380389 |
13 | 569 | 11768627 |
37 | 569 | 905279 |
43 | 569 | 24467 |
569 | 569 | 569 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1707, 2965694004 ) = 2 · 2 · 3 · 3 · 7 · 13 · 37 · 43 · 569 = 2965694004 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.