Question
Find Least Common Multiple of 386, 240, 460 and 320 using division method..
Answer
LCM( 386, 240, 460, 320 ) = 4261440
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 386 | 240 | 460 | 320 |
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 | 386 | 240 | 460 | 320 |
| 193 | 120 | 230 | 160 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 386 | 240 | 460 | 320 |
| 2 | 193 | 120 | 230 | 160 |
| 2 | 193 | 60 | 115 | 80 |
| 2 | 193 | 30 | 115 | 40 |
| 2 | 193 | 15 | 115 | 20 |
| 2 | 193 | 15 | 115 | 10 |
| 3 | 193 | 15 | 115 | 5 |
| 5 | 193 | 5 | 115 | 5 |
| 23 | 193 | 1 | 23 | 1 |
| 193 | 193 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 386, 240, 460, 320 ) = 2 · 2 · 2 · 2 · 2 · 2 · 3 · 5 · 23 · 193 = 4261440 .
This page was created using
LCM Calculator