Find Least Common Multiple of 7, 5, 14 and 10 using ladder method..
Answer
LCM( 7, 5, 14, 10 ) = 70
Explanation
Step 1 : Place the numbers inside division bar:
| 7 | 5 | 14 | 10 |
Step 2 : Find a prime number which can divide at least two of your numbers.
In this example we can divide by 7. If any number is not divisible by 7 write it down unchanged.
| 7 | 7 | 5 | 14 | 10 |
| 1 | 5 | 2 | 10 |
Step 3 : Repeat Step 2 until you can no longer divide.
| 7 | 7 | 5 | 14 | 10 |
| 5 | 1 | 5 | 2 | 10 |
| 1 | 1 | 2 | 2 |
| 7 | 7 | 5 | 14 | 10 |
| 5 | 1 | 5 | 2 | 10 |
| 2 | 1 | 1 | 2 | 2 |
| 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 = 7 · 5 · 14 · 10 = 70
This page was created using
LCM Calculator