LCM( 62, 76, 88 ) = 51832
Step 1 : Write the given numbers in a horizontal line.
62 | 76 | 88 |
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 | 62 | 76 | 88 |
31 | 38 | 44 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 62 | 76 | 88 |
2 | 31 | 38 | 44 |
2 | 31 | 19 | 22 |
11 | 31 | 19 | 11 |
19 | 31 | 19 | 1 |
31 | 31 | 1 | 1 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 62, 76, 88 ) = 2 · 2 · 2 · 11 · 19 · 31 = 51832 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.