Question
Find Least Common Multiple of 484, 682, 840 and 620 using division method..
Answer
LCM( 484, 682, 840, 620 ) = 3150840
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 484 | 682 | 840 | 620 |
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 | 484 | 682 | 840 | 620 |
| 242 | 341 | 420 | 310 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 484 | 682 | 840 | 620 |
| 2 | 242 | 341 | 420 | 310 |
| 2 | 121 | 341 | 210 | 155 |
| 3 | 121 | 341 | 105 | 155 |
| 5 | 121 | 341 | 35 | 155 |
| 7 | 121 | 341 | 7 | 31 |
| 11 | 121 | 341 | 1 | 31 |
| 11 | 11 | 31 | 1 | 31 |
| 31 | 1 | 31 | 1 | 31 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 484, 682, 840, 620 ) = 2 · 2 · 2 · 3 · 5 · 7 · 11 · 11 · 31 = 3150840 .
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