Find the LCM of 491, 696, 859, 170, 878 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 491, 696, 859, 170, 878. So, keep reading to learn more.
Given numbers are 491,696,859,170,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,696,859,170,878 is 10953863923560.
Find LCM of 491,696,859,170,878 with Prime Factorization
2 | 491, 696, 859, 170, 878 |
491, 348, 859, 85, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 491 x 348 x 859 x 85 x 439 = 10953863923560
Therefore, the lowest common multiple of 491,696,859,170,878 is 10953863923560.
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.
491 x 696 x 859 x 170 x 878 = 43815455694240
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.
491 : 1, 491
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
859 : 1, 859
170 : 1, 2, 5, 10, 17, 34, 85, 170
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,696,859,170,878, is 1.
Now, the common factors can be found like this.
491:491
696:2x 2x 2x 3x 29
859:859
170:2x 5x 17
878:2x 439
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 43815455694240/(1x4)
LCM = 43815455694240/4
LCM = 10953863923560
Thus, we can understand that the LCM of 491,696,859,170,878 is 10953863923560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 491, 696, 859, 170, 878?
Answer: LCM of 491, 696, 859, 170, 878 is 10953863923560.
2. How to calculate the LCM of 491, 696, 859, 170, 878?
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 491, 696, 859, 170, 878.
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}.