Find the LCM of 691, 968, 840, 363, 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 691, 968, 840, 363, 857. So, keep reading to learn more.
Given numbers are 691,968,840,363,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 691,968,840,363,857 is 60189886680.
Find LCM of 691,968,840,363,857 with Prime Factorization
2 | 691, 968, 840, 363, 857 |
2 | 691, 484, 420, 363, 857 |
2 | 691, 242, 210, 363, 857 |
3 | 691, 121, 105, 363, 857 |
11 | 691, 121, 35, 121, 857 |
11 | 691, 11, 35, 11, 857 |
691, 1, 35, 1, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 11 x 691 x 1 x 35 x 1 x 857 = 60189886680
Therefore, the lowest common multiple of 691,968,840,363,857 is 60189886680.
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.
691 x 968 x 840 x 363 x 857 = 174791430918720
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.
691 : 1, 691
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
363 : 1, 3, 11, 33, 121, 363
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,968,840,363,857, is 1.
Now, the common factors can be found like this.
691:691
968:2x 2x 2x 11x 11
840:2x 2x 2x 3x 5x 7
363:3x 11x 11
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 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 = 174791430918720/(1x2904)
LCM = 174791430918720/2904
LCM = 60189886680
Thus, we can understand that the LCM of 691,968,840,363,857 is 60189886680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 691, 968, 840, 363, 857?
Answer: LCM of 691, 968, 840, 363, 857 is 60189886680.
2. How to calculate the LCM of 691, 968, 840, 363, 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 691, 968, 840, 363, 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}.