LCM( 1750, 174174000 ) = 174174000
Step 1 : Write the given numbers in a horizontal line.
1750 | 174174000 |
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 | 1750 | 174174000 |
875 | 87087000 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1750 | 174174000 |
2 | 875 | 87087000 |
2 | 875 | 43543500 |
2 | 875 | 21771750 |
3 | 875 | 10885875 |
5 | 875 | 3628625 |
5 | 175 | 725725 |
5 | 35 | 145145 |
7 | 7 | 29029 |
11 | 1 | 4147 |
13 | 1 | 377 |
29 | 1 | 29 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1750, 174174000 ) = 2 · 2 · 2 · 2 · 3 · 5 · 5 · 5 · 7 · 11 · 13 · 29 = 174174000 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.