LCM( 56, 48, 64 ) = 1344
Step 1 : Write the given numbers in a horizontal line.
56 | 48 | 64 |
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 | 56 | 48 | 64 |
28 | 24 | 32 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
2 | 56 | 48 | 64 |
2 | 28 | 24 | 32 |
2 | 14 | 12 | 16 |
2 | 7 | 6 | 8 |
2 | 7 | 3 | 4 |
2 | 7 | 3 | 2 |
3 | 7 | 3 | 1 |
7 | 7 | 1 | 1 |
1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 56, 48, 64 ) = 2 · 2 · 2 · 2 · 2 · 2 · 3 · 7 = 1344 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.