LCM( 1730, 7823060 ) = 7823060
Step 1 : Write the given numbers in a horizontal line.
1730 | 7823060 |
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 | 1730 | 7823060 |
865 | 3911530 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1730 | 7823060 |
2 | 865 | 3911530 |
5 | 865 | 1955765 |
7 | 173 | 391153 |
17 | 173 | 55879 |
19 | 173 | 3287 |
173 | 173 | 173 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1730, 7823060 ) = 2 · 2 · 5 · 7 · 17 · 19 · 173 = 7823060 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.