Find Least Common Multiple of 15, 21, 33 and 54 using division method..
Answer
LCM( 15, 21, 33, 54 ) = 20790
Explanation
Step 1 : Write the given numbers in a horizontal line.
| 15 | 21 | 33 | 54 |
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 | 15 | 21 | 33 | 54 |
| 15 | 21 | 33 | 27 |
Step 3 : Continue dividing by prime numbers till we get 1 in all columns.
| 2 | 15 | 21 | 33 | 54 |
| 3 | 15 | 21 | 33 | 27 |
| 3 | 5 | 7 | 11 | 9 |
| 3 | 5 | 7 | 11 | 3 |
| 5 | 5 | 7 | 11 | 1 |
| 7 | 1 | 7 | 11 | 1 |
| 11 | 1 | 1 | 11 | 1 |
| 1 | 1 | 1 | 1 |
Step 4 : Multiply numbers in first column to get LCM.
LCM( 15, 21, 33, 54 ) = 2 · 3 · 3 · 3 · 5 · 7 · 11 = 20790 .
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