LCM of 960, 408, 297, 179, 857
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 408, 297, 179, 857 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 960, 408, 297, 179, 857. So, keep reading to learn more.
Given numbers are 960,408,297,179,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,408,297,179,857 is 247850159040.
Find LCM of 960,408,297,179,857 with Prime Factorization
| 2 | 960, 408, 297, 179, 857 |
| 2 | 480, 204, 297, 179, 857 |
| 2 | 240, 102, 297, 179, 857 |
| 3 | 120, 51, 297, 179, 857 |
| 40, 17, 99, 179, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 40 x 17 x 99 x 179 x 857 = 247850159040
Therefore, the lowest common multiple of 960,408,297,179,857 is 247850159040.
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.
960 x 408 x 297 x 179 x 857 = 17845211450880
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.
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
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
297 : 1, 3, 9, 11, 27, 33, 99, 297
179 : 1, 179
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,408,297,179,857, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
408:2x 2x 2x 3x 17
297:3x 3x 3x 11
179:179
857:857
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 17845211450880/(1x72)
LCM = 17845211450880/72
LCM = 247850159040
Thus, we can understand that the LCM of 960,408,297,179,857 is 247850159040.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 960, 408, 297, 179, 857
1. What is the LCM of 960, 408, 297, 179, 857?
Answer: LCM of 960, 408, 297, 179, 857 is 247850159040.
2. How to calculate the LCM of 960, 408, 297, 179, 857?
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 960, 408, 297, 179, 857.
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}.