Question
Find Least Common Multiple of 285, 360, 200, 386 and 340 using division method..
Answer
LCM( 285, 360, 200, 386, 340 ) = 112210200
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 285 | 360 | 200 | 386 | 340 |
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 | 360 | 200 | 386 | 340 |
| 285 | 180 | 100 | 193 | 170 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 285 | 360 | 200 | 386 | 340 |
| 2 | 285 | 180 | 100 | 193 | 170 |
| 2 | 285 | 90 | 50 | 193 | 85 |
| 3 | 285 | 45 | 25 | 193 | 85 |
| 3 | 95 | 15 | 25 | 193 | 85 |
| 5 | 95 | 5 | 25 | 193 | 85 |
| 5 | 19 | 1 | 5 | 193 | 17 |
| 17 | 19 | 1 | 1 | 193 | 17 |
| 19 | 19 | 1 | 1 | 193 | 1 |
| 193 | 1 | 1 | 1 | 193 | 1 |
| 1 | 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 285, 360, 200, 386, 340 ) = 2 · 2 · 2 · 3 · 3 · 5 · 5 · 17 · 19 · 193 = 112210200 .
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