LCM( 1744, 6618480 ) = 6618480
Step 1 : Write the given numbers in a horizontal line.
1744 | 6618480 |
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 | 1744 | 6618480 |
872 | 3309240 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1744 | 6618480 |
2 | 872 | 3309240 |
2 | 436 | 1654620 |
2 | 218 | 827310 |
3 | 109 | 413655 |
5 | 109 | 137885 |
11 | 109 | 27577 |
23 | 109 | 2507 |
109 | 109 | 109 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1744, 6618480 ) = 2 · 2 · 2 · 2 · 3 · 5 · 11 · 23 · 109 = 6618480 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.