Find Least Common Multiple of 160, 240, 300 and 360 using division method..
Answer
LCM( 160, 240, 300, 360 ) = 7200
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 160 | 240 | 300 | 360 |
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 | 240 | 300 | 360 |
| 80 | 120 | 150 | 180 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 160 | 240 | 300 | 360 |
| 2 | 80 | 120 | 150 | 180 |
| 2 | 40 | 60 | 75 | 90 |
| 2 | 20 | 30 | 75 | 45 |
| 2 | 10 | 15 | 75 | 45 |
| 3 | 5 | 15 | 75 | 45 |
| 3 | 5 | 5 | 25 | 15 |
| 5 | 5 | 5 | 25 | 5 |
| 5 | 1 | 1 | 5 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 160, 240, 300, 360 ) = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 5 · 5 = 7200 .
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