LCM of 366, 979, 836, 561, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 366, 979, 836, 561, 460 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 366, 979, 836, 561, 460. So, keep reading to learn more.
Given numbers are 366,979,836,561,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 366,979,836,561,460 is 26619147060.
Find LCM of 366,979,836,561,460 with Prime Factorization
| 2 | 366, 979, 836, 561, 460 |
| 2 | 183, 979, 418, 561, 230 |
| 3 | 183, 979, 209, 561, 115 |
| 11 | 61, 979, 209, 187, 115 |
| 61, 89, 19, 17, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 61 x 89 x 19 x 17 x 115 = 26619147060
Therefore, the lowest common multiple of 366,979,836,561,460 is 26619147060.
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.
366 x 979 x 836 x 561 x 460 = 77302003062240
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.
366 : 1, 2, 3, 6, 61, 122, 183, 366
979 : 1, 11, 89, 979
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
561 : 1, 3, 11, 17, 33, 51, 187, 561
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,979,836,561,460, is 1.
Now, the common factors can be found like this.
366:2x 3x 61
979:11x 89
836:2x 2x 11x 19
561:3x 11x 17
460:2x 2x 5x 23
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 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 77302003062240/(1x2904)
LCM = 77302003062240/2904
LCM = 26619147060
Thus, we can understand that the LCM of 366,979,836,561,460 is 26619147060.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 366, 979, 836, 561, 460
1. What is the LCM of 366, 979, 836, 561, 460?
Answer: LCM of 366, 979, 836, 561, 460 is 26619147060.
2. How to calculate the LCM of 366, 979, 836, 561, 460?
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 366, 979, 836, 561, 460.
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}.