Find Least Common Multiple of 150, 450, 160 and 165 using division method..
Answer
LCM( 150, 450, 160, 165 ) = 79200
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 150 | 450 | 160 | 165 |
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 | 150 | 450 | 160 | 165 |
| 75 | 225 | 80 | 165 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 150 | 450 | 160 | 165 |
| 2 | 75 | 225 | 80 | 165 |
| 2 | 75 | 225 | 40 | 165 |
| 2 | 75 | 225 | 20 | 165 |
| 2 | 75 | 225 | 10 | 165 |
| 3 | 75 | 225 | 5 | 165 |
| 3 | 25 | 75 | 5 | 55 |
| 5 | 25 | 25 | 5 | 55 |
| 5 | 5 | 5 | 1 | 11 |
| 11 | 1 | 1 | 1 | 11 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 150, 450, 160, 165 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5 · 5 · 11 = 79200 .
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