Question
Find Least Common Multiple of 8, 6, 3 and 2 using ladder method..
Answer
LCM( 8, 6, 3, 2 ) = 24
Explanation
Step 1 : Place the numbers inside division bar:
| 8 | 6 | 3 | 2 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 2. If any number is not divisible by 2 write it down unchanged.
| 2 | 8 | 6 | 3 | 2 |
| 4 | 3 | 3 | 1 |
Step 3 : Repeat Step 2 until you can no longer divide.
| 2 | 8 | 6 | 3 | 2 |
| 3 | 4 | 3 | 3 | 1 |
| 4 | 1 | 1 | 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 = 8 · 6 · 3 · 2 = 24
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