Find Least Common Multiple of 3, 9, 81 and 27 using ladder method..
Answer
LCM( 3, 9, 81, 27 ) = 81
Explanation
Step 1 : Place the numbers inside division bar:
| 3 | 9 | 81 | 27 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 3. If any number is not divisible by 3 write it down unchanged.
| 3 | 3 | 9 | 81 | 27 |
| 1 | 3 | 27 | 9 |
Step 3 : Repeat Step 2 until you can no longer divide.
| 3 | 3 | 9 | 81 | 27 |
| 3 | 1 | 3 | 27 | 9 |
| 1 | 1 | 9 | 3 |
| 3 | 3 | 9 | 81 | 27 |
| 3 | 1 | 3 | 27 | 9 |
| 3 | 1 | 1 | 9 | 3 |
| 1 | 1 | 3 | 1 |
Since there are no primes that divides at least two of given numbers, we conclude that the LCM is a product of starting numbers.
LCM = 3 · 9 · 81 · 27 = 81
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