Find Least Common Multiple of 284, 648, 280 and 360 using division method..
Answer
LCM( 284, 648, 280, 360 ) = 1610280
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 284 | 648 | 280 | 360 |
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 | 284 | 648 | 280 | 360 |
| 142 | 324 | 140 | 180 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 284 | 648 | 280 | 360 |
| 2 | 142 | 324 | 140 | 180 |
| 2 | 71 | 162 | 70 | 90 |
| 3 | 71 | 81 | 35 | 45 |
| 3 | 71 | 27 | 35 | 15 |
| 3 | 71 | 9 | 35 | 5 |
| 3 | 71 | 3 | 35 | 5 |
| 5 | 71 | 1 | 35 | 5 |
| 7 | 71 | 1 | 7 | 1 |
| 71 | 71 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 284, 648, 280, 360 ) = 2 · 2 · 2 · 3 · 3 · 3 · 3 · 5 · 7 · 71 = 1610280 .
This page was created using
LCM Calculator