Question
Find Least Common Multiple of 14, 17 and 12 using division method..
Answer
LCM( 14, 17, 12 ) = 1428
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 14 | 17 | 12 |
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 | 14 | 17 | 12 |
| 7 | 17 | 6 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 14 | 17 | 12 |
| 2 | 7 | 17 | 6 |
| 3 | 7 | 17 | 3 |
| 7 | 7 | 17 | 1 |
| 17 | 1 | 17 | 1 |
| 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 14, 17, 12 ) = 2 · 2 · 3 · 7 · 17 = 1428 .
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
This page was created using
LCM Calculator