LCM( 1715, 1605240 ) = 1605240
Step 1 : Write the given numbers in a horizontal line.
1715 | 1605240 |
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 | 1715 | 1605240 |
1715 | 802620 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1715 | 1605240 |
2 | 1715 | 802620 |
2 | 1715 | 401310 |
3 | 1715 | 200655 |
3 | 1715 | 66885 |
5 | 1715 | 22295 |
7 | 343 | 4459 |
7 | 49 | 637 |
7 | 7 | 91 |
13 | 1 | 13 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1715, 1605240 ) = 2 · 2 · 2 · 3 · 3 · 5 · 7 · 7 · 7 · 13 = 1605240 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.