LCM( 1725, 4574700 ) = 4574700
Step 1 : Write the given numbers in a horizontal line.
1725 | 4574700 |
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 | 1725 | 4574700 |
1725 | 2287350 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1725 | 4574700 |
2 | 1725 | 2287350 |
3 | 1725 | 1143675 |
3 | 575 | 381225 |
5 | 575 | 127075 |
5 | 115 | 25415 |
13 | 23 | 5083 |
17 | 23 | 391 |
23 | 23 | 23 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1725, 4574700 ) = 2 · 2 · 3 · 3 · 5 · 5 · 13 · 17 · 23 = 4574700 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.