Question
Find Least Common Multiple of 160, 284, 160 and 200 using division method..
Answer
LCM( 160, 284, 160, 200 ) = 56800
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 160 | 284 | 160 | 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 | 160 | 284 | 160 | 200 |
| 80 | 142 | 80 | 100 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 160 | 284 | 160 | 200 |
| 2 | 80 | 142 | 80 | 100 |
| 2 | 40 | 71 | 40 | 50 |
| 2 | 20 | 71 | 20 | 25 |
| 2 | 10 | 71 | 10 | 25 |
| 5 | 5 | 71 | 5 | 25 |
| 5 | 1 | 71 | 1 | 5 |
| 71 | 1 | 71 | 1 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 160, 284, 160, 200 ) = 2 · 2 · 2 · 2 · 2 · 5 · 5 · 71 = 56800 .
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