Question
Find Least Common Multiple of 420, 530, 614 and 686 using division method..
Answer
LCM( 420, 530, 614, 686 ) = 334857180
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 420 | 530 | 614 | 686 |
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 | 530 | 614 | 686 |
| 210 | 265 | 307 | 343 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 420 | 530 | 614 | 686 |
| 2 | 210 | 265 | 307 | 343 |
| 3 | 105 | 265 | 307 | 343 |
| 5 | 35 | 265 | 307 | 343 |
| 7 | 7 | 53 | 307 | 343 |
| 7 | 1 | 53 | 307 | 49 |
| 7 | 1 | 53 | 307 | 7 |
| 53 | 1 | 53 | 307 | 1 |
| 307 | 1 | 1 | 307 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 420, 530, 614, 686 ) = 2 · 2 · 3 · 5 · 7 · 7 · 7 · 53 · 307 = 334857180 .
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