Find the LCM of 9701, 8720 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 9701, 8720. So, keep reading to learn more.
Given numbers are 9701,8720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9701,8720 is 776080.
Find LCM of 9701,8720 with Prime Factorization
| 109 | 9701, 8720 |
| 89, 80 |
Multiply the prime numbers at the bottom and the left side.
109 x 89 x 80 = 776080
Therefore, the lowest common multiple of 9701,8720 is 776080.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
9701 x 8720 = 84592720
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
9701 : 1, 89, 109, 9701
8720 : 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720
109 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9701,8720, is 109.
Now, the common factors can be found like this.
9701:89x 109
8720:2x 2x 2x 2x 5x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 84592720/(109x1)
LCM = 84592720/109
LCM = 776080
Thus, we can understand that the LCM of 9701,8720 is 776080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9701, 8720?
Answer: LCM of 9701, 8720 is 776080.
2. How to calculate the LCM of 9701, 8720?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 9701, 8720.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.