Find Least Common Multiple of 420, 180, 340 and 630 using division method..
Answer
LCM( 420, 180, 340, 630 ) = 21420
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 420 | 180 | 340 | 630 |
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 | 420 | 180 | 340 | 630 |
| 210 | 90 | 170 | 315 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 420 | 180 | 340 | 630 |
| 2 | 210 | 90 | 170 | 315 |
| 3 | 105 | 45 | 85 | 315 |
| 3 | 35 | 15 | 85 | 105 |
| 5 | 35 | 5 | 85 | 35 |
| 7 | 7 | 1 | 17 | 7 |
| 17 | 1 | 1 | 17 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 420, 180, 340, 630 ) = 2 · 2 · 3 · 3 · 5 · 7 · 17 = 21420 .
This page was created using
LCM Calculator