Find Least Common Multiple of 90, 45, 65 and 35 using ladder method..
Answer
LCM( 90, 45, 65, 35 ) = 8190
Explanation
Step 1 : Place the numbers inside division bar:
| 90 | 45 | 65 | 35 |
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 | 90 | 45 | 65 | 35 |
| 30 | 15 | 65 | 35 |
Step 3 : Repeat Step 2 until you can no longer divide.
| 3 | 90 | 45 | 65 | 35 |
| 3 | 30 | 15 | 65 | 35 |
| 10 | 5 | 65 | 35 |
| 3 | 90 | 45 | 65 | 35 |
| 3 | 30 | 15 | 65 | 35 |
| 5 | 10 | 5 | 65 | 35 |
| 2 | 1 | 13 | 7 |
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 = 90 · 45 · 65 · 35 = 8190
This page was created using
LCM Calculator