Find the LCM of 966, 457, 148, 726, 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 966, 457, 148, 726, 857. So, keep reading to learn more.
Given numbers are 966,457,148,726,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,457,148,726,857 is 3387593091036.
Find LCM of 966,457,148,726,857 with Prime Factorization
2 | 966, 457, 148, 726, 857 |
3 | 483, 457, 74, 363, 857 |
161, 457, 74, 121, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 161 x 457 x 74 x 121 x 857 = 3387593091036
Therefore, the lowest common multiple of 966,457,148,726,857 is 3387593091036.
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.
966 x 457 x 148 x 726 x 857 = 40651117092432
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
457 : 1, 457
148 : 1, 2, 4, 37, 74, 148
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,457,148,726,857, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
457:457
148:2x 2x 37
726:2x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 40651117092432/(1x12)
LCM = 40651117092432/12
LCM = 3387593091036
Thus, we can understand that the LCM of 966,457,148,726,857 is 3387593091036.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 966, 457, 148, 726, 857?
Answer: LCM of 966, 457, 148, 726, 857 is 3387593091036.
2. How to calculate the LCM of 966, 457, 148, 726, 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 966, 457, 148, 726, 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}.