Find Least Common Multiple of 60, 25, 20 and 15 using ladder method..
Answer
LCM( 60, 25, 20, 15 ) = 300
Explanation
Step 1 : Place the numbers inside division bar:
| 60 | 25 | 20 | 15 |
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 | 60 | 25 | 20 | 15 |
| 30 | 25 | 10 | 15 |
Step 3 : Repeat Step 2 until you can no longer divide.
| 2 | 60 | 25 | 20 | 15 |
| 2 | 30 | 25 | 10 | 15 |
| 15 | 25 | 5 | 15 |
| 2 | 60 | 25 | 20 | 15 |
| 2 | 30 | 25 | 10 | 15 |
| 3 | 15 | 25 | 5 | 15 |
| 5 | 25 | 5 | 5 |
| 2 | 60 | 25 | 20 | 15 |
| 2 | 30 | 25 | 10 | 15 |
| 3 | 15 | 25 | 5 | 15 |
| 5 | 5 | 25 | 5 | 5 |
| 1 | 5 | 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 = 60 · 25 · 20 · 15 = 300
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