Find the LCM of 991, 646, 903, 505, 958 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 991, 646, 903, 505, 958. So, keep reading to learn more.
Given numbers are 991,646,903,505,958
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,646,903,505,958 is 139836586600410.
Find LCM of 991,646,903,505,958 with Prime Factorization
2 | 991, 646, 903, 505, 958 |
991, 323, 903, 505, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 991 x 323 x 903 x 505 x 479 = 139836586600410
Therefore, the lowest common multiple of 991,646,903,505,958 is 139836586600410.
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.
991 x 646 x 903 x 505 x 958 = 279673173200820
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.
991 : 1, 991
646 : 1, 2, 17, 19, 34, 38, 323, 646
903 : 1, 3, 7, 21, 43, 129, 301, 903
505 : 1, 5, 101, 505
958 : 1, 2, 479, 958
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,646,903,505,958, is 1.
Now, the common factors can be found like this.
991:991
646:2x 17x 19
903:3x 7x 43
505:5x 101
958:2x 479
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 279673173200820/(1x2)
LCM = 279673173200820/2
LCM = 139836586600410
Thus, we can understand that the LCM of 991,646,903,505,958 is 139836586600410.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 991, 646, 903, 505, 958?
Answer: LCM of 991, 646, 903, 505, 958 is 139836586600410.
2. How to calculate the LCM of 991, 646, 903, 505, 958?
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 991, 646, 903, 505, 958.
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}.