LCM( 1733, 590710380 ) = 590710380
Step 1 : Write the given numbers in a horizontal line.
1733 | 590710380 |
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 | 1733 | 590710380 |
1733 | 295355190 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1733 | 590710380 |
2 | 1733 | 295355190 |
3 | 1733 | 147677595 |
5 | 1733 | 49225865 |
13 | 1733 | 9845173 |
19 | 1733 | 757321 |
23 | 1733 | 39859 |
1733 | 1733 | 1733 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1733, 590710380 ) = 2 · 2 · 3 · 5 · 13 · 19 · 23 · 1733 = 590710380 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.