Find the LCM of 9905, 9056 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 9905, 9056. So, keep reading to learn more.
Given numbers are 9905,9056
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9905,9056 is 316960.
Find LCM of 9905,9056 with Prime Factorization
| 283 | 9905, 9056 |
| 35, 32 |
Multiply the prime numbers at the bottom and the left side.
283 x 35 x 32 = 316960
Therefore, the lowest common multiple of 9905,9056 is 316960.
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.
9905 x 9056 = 89699680
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.
9905 : 1, 5, 7, 35, 283, 1415, 1981, 9905
9056 : 1, 2, 4, 8, 16, 32, 283, 566, 1132, 2264, 4528, 9056
283 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9905,9056, is 283.
Now, the common factors can be found like this.
9905:5x 7x 283
9056:2x 2x 2x 2x 2x 283
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 = 89699680/(283x1)
LCM = 89699680/283
LCM = 316960
Thus, we can understand that the LCM of 9905,9056 is 316960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9905, 9056?
Answer: LCM of 9905, 9056 is 316960.
2. How to calculate the LCM of 9905, 9056?
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 9905, 9056.
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}.