LCM( 2826, 6282 ) = 986274
Step 1 : Write the given numbers in a horizontal line.
2826 | 6282 |
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 | 2826 | 6282 |
1413 | 3141 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 2826 | 6282 |
3 | 1413 | 3141 |
3 | 471 | 1047 |
157 | 157 | 349 |
349 | 1 | 349 |
1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 2826, 6282 ) = 2 · 3 · 3 · 157 · 349 = 986274 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.