Find the LCM of 955, 214, 831, 436, 910 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 955, 214, 831, 436, 910. So, keep reading to learn more.
Given numbers are 955,214,831,436,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 955,214,831,436,910 is 3369116701860.
Find LCM of 955,214,831,436,910 with Prime Factorization
2 | 955, 214, 831, 436, 910 |
5 | 955, 107, 831, 218, 455 |
191, 107, 831, 218, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 191 x 107 x 831 x 218 x 91 = 3369116701860
Therefore, the lowest common multiple of 955,214,831,436,910 is 3369116701860.
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.
955 x 214 x 831 x 436 x 910 = 67382334037200
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.
955 : 1, 5, 191, 955
214 : 1, 2, 107, 214
831 : 1, 3, 277, 831
436 : 1, 2, 4, 109, 218, 436
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,214,831,436,910, is 1.
Now, the common factors can be found like this.
955:5x 191
214:2x 107
831:3x 277
436:2x 2x 109
910:2x 5x 7x 13
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 5 = 20
Therefore, the value for common factors is 20.
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 = 67382334037200/(1x20)
LCM = 67382334037200/20
LCM = 3369116701860
Thus, we can understand that the LCM of 955,214,831,436,910 is 3369116701860.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 955, 214, 831, 436, 910?
Answer: LCM of 955, 214, 831, 436, 910 is 3369116701860.
2. How to calculate the LCM of 955, 214, 831, 436, 910?
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 955, 214, 831, 436, 910.
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}.