Find Least Common Multiple of 684, 864, 430 and 200 using division method..
Answer
LCM( 684, 864, 430, 200 ) = 17647200
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 684 | 864 | 430 | 200 |
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 | 684 | 864 | 430 | 200 |
| 342 | 432 | 215 | 100 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 684 | 864 | 430 | 200 |
| 2 | 342 | 432 | 215 | 100 |
| 2 | 171 | 216 | 215 | 50 |
| 2 | 171 | 108 | 215 | 25 |
| 2 | 171 | 54 | 215 | 25 |
| 3 | 171 | 27 | 215 | 25 |
| 3 | 57 | 9 | 215 | 25 |
| 3 | 19 | 3 | 215 | 25 |
| 5 | 19 | 1 | 215 | 25 |
| 5 | 19 | 1 | 43 | 5 |
| 19 | 19 | 1 | 43 | 1 |
| 43 | 1 | 1 | 43 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 684, 864, 430, 200 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 3 · 5 · 5 · 19 · 43 = 17647200 .
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