LCM( 1704, 16997400 ) = 16997400
Step 1 : Write the given numbers in a horizontal line.
1704 | 16997400 |
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 | 1704 | 16997400 |
852 | 8498700 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1704 | 16997400 |
2 | 852 | 8498700 |
2 | 426 | 4249350 |
3 | 213 | 2124675 |
3 | 71 | 708225 |
5 | 71 | 236075 |
5 | 71 | 47215 |
7 | 71 | 9443 |
19 | 71 | 1349 |
71 | 71 | 71 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1704, 16997400 ) = 2 · 2 · 2 · 3 · 3 · 5 · 5 · 7 · 19 · 71 = 16997400 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.