LCM of 105, 960, 538, 979, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 960, 538, 979, 951 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 105, 960, 538, 979, 951. So, keep reading to learn more.
Given numbers are 105,960,538,979,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,960,538,979,951 is 561000834240.
Find LCM of 105,960,538,979,951 with Prime Factorization
| 2 | 105, 960, 538, 979, 951 |
| 3 | 105, 480, 269, 979, 951 |
| 5 | 35, 160, 269, 979, 317 |
| 7, 32, 269, 979, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 32 x 269 x 979 x 317 = 561000834240
Therefore, the lowest common multiple of 105,960,538,979,951 is 561000834240.
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.
105 x 960 x 538 x 979 x 951 = 50490075081600
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
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
538 : 1, 2, 269, 538
979 : 1, 11, 89, 979
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,960,538,979,951, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
960:2x 2x 2x 2x 2x 2x 3x 5
538:2x 269
979:11x 89
951:3x 317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 50490075081600/(1x90)
LCM = 50490075081600/90
LCM = 561000834240
Thus, we can understand that the LCM of 105,960,538,979,951 is 561000834240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 105, 960, 538, 979, 951
1. What is the LCM of 105, 960, 538, 979, 951?
Answer: LCM of 105, 960, 538, 979, 951 is 561000834240.
2. How to calculate the LCM of 105, 960, 538, 979, 951?
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 105, 960, 538, 979, 951.
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}.