LCM( 1732, 1600368 ) = 1600368
Step 1 : Write the given numbers in a horizontal line.
1732 | 1600368 |
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 | 1732 | 1600368 |
866 | 800184 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1732 | 1600368 |
2 | 866 | 800184 |
2 | 433 | 400092 |
2 | 433 | 200046 |
3 | 433 | 100023 |
7 | 433 | 33341 |
11 | 433 | 4763 |
433 | 433 | 433 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1732, 1600368 ) = 2 · 2 · 2 · 2 · 3 · 7 · 11 · 433 = 1600368 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.