Find Least Common Multiple of 12, 16, 18, 21 and 28 using division method..
Answer
LCM( 12, 16, 18, 21, 28 ) = 1008
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 12 | 16 | 18 | 21 | 28 |
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 | 12 | 16 | 18 | 21 | 28 |
| 6 | 8 | 9 | 21 | 14 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 12 | 16 | 18 | 21 | 28 |
| 2 | 6 | 8 | 9 | 21 | 14 |
| 2 | 3 | 4 | 9 | 21 | 7 |
| 2 | 3 | 2 | 9 | 21 | 7 |
| 3 | 3 | 1 | 9 | 21 | 7 |
| 3 | 1 | 1 | 3 | 7 | 7 |
| 7 | 1 | 1 | 1 | 7 | 7 |
| 1 | 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 12, 16, 18, 21, 28 ) = 2 · 2 · 2 · 2 · 3 · 3 · 7 = 1008 .
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