Find the LCM of 986, 928, 566, 128, 959 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 986, 928, 566, 128, 959. So, keep reading to learn more.
Given numbers are 986,928,566,128,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,928,566,128,959 is 17126236288.
Find LCM of 986,928,566,128,959 with Prime Factorization
| 2 | 986, 928, 566, 128, 959 |
| 2 | 493, 464, 283, 64, 959 |
| 2 | 493, 232, 283, 32, 959 |
| 2 | 493, 116, 283, 16, 959 |
| 2 | 493, 58, 283, 8, 959 |
| 29 | 493, 29, 283, 4, 959 |
| 17, 1, 283, 4, 959 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 29 x 17 x 1 x 283 x 4 x 959 = 17126236288
Therefore, the lowest common multiple of 986,928,566,128,959 is 17126236288.
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.
986 x 928 x 566 x 128 x 959 = 63572589101056
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
566 : 1, 2, 283, 566
128 : 1, 2, 4, 8, 16, 32, 64, 128
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,928,566,128,959, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
928:2x 2x 2x 2x 2x 29
566:2x 283
128:2x 2x 2x 2x 2x 2x 2
959:7x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 29 = 3712
Therefore, the value for common factors is 3712.
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 = 63572589101056/(1x3712)
LCM = 63572589101056/3712
LCM = 17126236288
Thus, we can understand that the LCM of 986,928,566,128,959 is 17126236288.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 928, 566, 128, 959?
Answer: LCM of 986, 928, 566, 128, 959 is 17126236288.
2. How to calculate the LCM of 986, 928, 566, 128, 959?
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 986, 928, 566, 128, 959.
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}.