LCM( 37514400, 1760 ) = 37514400
Step 1 : Write the given numbers in a horizontal line.
37514400 | 1760 |
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 | 37514400 | 1760 |
18757200 | 880 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 37514400 | 1760 |
2 | 18757200 | 880 |
2 | 9378600 | 440 |
2 | 4689300 | 220 |
2 | 2344650 | 110 |
3 | 1172325 | 55 |
5 | 390775 | 55 |
5 | 78155 | 11 |
7 | 15631 | 11 |
7 | 2233 | 11 |
11 | 319 | 11 |
29 | 29 | 1 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 37514400, 1760 ) = 2 · 2 · 2 · 2 · 2 · 3 · 5 · 5 · 7 · 7 · 11 · 29 = 37514400 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.