LCM( 1750, 1750 ) = 1750
Step 1 : Write the given numbers in a horizontal line.
1750 | 1750 |
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 | 1750 |
875 | 875 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1750 | 1750 |
5 | 875 | 875 |
5 | 175 | 175 |
5 | 35 | 35 |
7 | 7 | 7 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1750, 1750 ) = 2 · 5 · 5 · 5 · 7 = 1750 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.