Find Least Common Multiple of 4, 10, 25 and 100 using ladder method..
Answer
LCM( 4, 10, 25, 100 ) = 100
Explanation
Step 1 : Place the numbers inside division bar:
| 4 | 10 | 25 | 100 |
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 | 4 | 10 | 25 | 100 |
| 2 | 5 | 25 | 50 |
Step 3 : Repeat Step 2 until you can no longer divide.
| 2 | 4 | 10 | 25 | 100 |
| 2 | 2 | 5 | 25 | 50 |
| 1 | 5 | 25 | 25 |
| 2 | 4 | 10 | 25 | 100 |
| 2 | 2 | 5 | 25 | 50 |
| 5 | 1 | 5 | 25 | 25 |
| 1 | 1 | 5 | 5 |
| 2 | 4 | 10 | 25 | 100 |
| 2 | 2 | 5 | 25 | 50 |
| 5 | 1 | 5 | 25 | 25 |
| 5 | 1 | 1 | 5 | 5 |
| 1 | 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 = 4 · 10 · 25 · 100 = 100
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