Find Least Common Multiple of 285, 200, 315 and 450 using division method..
Answer
LCM( 285, 200, 315, 450 ) = 239400
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 285 | 200 | 315 | 450 |
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 | 285 | 200 | 315 | 450 |
| 285 | 100 | 315 | 225 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 285 | 200 | 315 | 450 |
| 2 | 285 | 100 | 315 | 225 |
| 2 | 285 | 50 | 315 | 225 |
| 3 | 285 | 25 | 315 | 225 |
| 3 | 95 | 25 | 105 | 75 |
| 5 | 95 | 25 | 35 | 25 |
| 5 | 19 | 5 | 7 | 5 |
| 7 | 19 | 1 | 7 | 1 |
| 19 | 19 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 285, 200, 315, 450 ) = 2 · 2 · 2 · 3 · 3 · 5 · 5 · 7 · 19 = 239400 .
This page was created using
LCM Calculator