LCM( 1749, 30117780 ) = 30117780
Step 1 : Write the given numbers in a horizontal line.
1749 | 30117780 |
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 | 1749 | 30117780 |
1749 | 15058890 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1749 | 30117780 |
2 | 1749 | 15058890 |
3 | 1749 | 7529445 |
3 | 583 | 2509815 |
5 | 583 | 836605 |
7 | 583 | 167321 |
11 | 583 | 23903 |
41 | 53 | 2173 |
53 | 53 | 53 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1749, 30117780 ) = 2 · 2 · 3 · 3 · 5 · 7 · 11 · 41 · 53 = 30117780 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.