LCM( 1738, 521191440 ) = 521191440
Step 1 : Write the given numbers in a horizontal line.
1738 | 521191440 |
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 | 1738 | 521191440 |
869 | 260595720 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1738 | 521191440 |
2 | 869 | 260595720 |
2 | 869 | 130297860 |
2 | 869 | 65148930 |
3 | 869 | 32574465 |
3 | 869 | 10858155 |
5 | 869 | 3619385 |
7 | 869 | 723877 |
7 | 869 | 103411 |
11 | 869 | 14773 |
17 | 79 | 1343 |
79 | 79 | 79 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1738, 521191440 ) = 2 · 2 · 2 · 2 · 3 · 3 · 5 · 7 · 7 · 11 · 17 · 79 = 521191440 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.