LCM( 1735, 3497760 ) = 3497760
Step 1 : Write the given numbers in a horizontal line.
1735 | 3497760 |
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 | 1735 | 3497760 |
1735 | 1748880 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 1735 | 3497760 |
2 | 1735 | 1748880 |
2 | 1735 | 874440 |
2 | 1735 | 437220 |
2 | 1735 | 218610 |
3 | 1735 | 109305 |
3 | 1735 | 36435 |
5 | 1735 | 12145 |
7 | 347 | 2429 |
347 | 347 | 347 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 1735, 3497760 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5 · 7 · 347 = 3497760 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.