LCM of 561, 768, 331, 960, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 768, 331, 960, 964 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 561, 768, 331, 960, 964. So, keep reading to learn more.
Given numbers are 561,768,331,960,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,768,331,960,964 is 57281959680.
Find LCM of 561,768,331,960,964 with Prime Factorization
| 2 | 561, 768, 331, 960, 964 |
| 2 | 561, 384, 331, 480, 482 |
| 2 | 561, 192, 331, 240, 241 |
| 2 | 561, 96, 331, 120, 241 |
| 2 | 561, 48, 331, 60, 241 |
| 2 | 561, 24, 331, 30, 241 |
| 3 | 561, 12, 331, 15, 241 |
| 187, 4, 331, 5, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 187 x 4 x 331 x 5 x 241 = 57281959680
Therefore, the lowest common multiple of 561,768,331,960,964 is 57281959680.
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.
561 x 768 x 331 x 960 x 964 = 131977635102720
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
331 : 1, 331
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,768,331,960,964, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
768:2x 2x 2x 2x 2x 2x 2x 2x 3
331:331
960:2x 2x 2x 2x 2x 2x 3x 5
964:2x 2x 241
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 2x 3x 3 = 2304
Therefore, the value for common factors is 2304.
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 = 131977635102720/(1x2304)
LCM = 131977635102720/2304
LCM = 57281959680
Thus, we can understand that the LCM of 561,768,331,960,964 is 57281959680.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 561, 768, 331, 960, 964
1. What is the LCM of 561, 768, 331, 960, 964?
Answer: LCM of 561, 768, 331, 960, 964 is 57281959680.
2. How to calculate the LCM of 561, 768, 331, 960, 964?
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 561, 768, 331, 960, 964.
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}.