Find the LCM of 931, 218, 407, 598, 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 931, 218, 407, 598, 958. So, keep reading to learn more.
Given numbers are 931,218,407,598,958
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,218,407,598,958 is 11830614021226.
Find LCM of 931,218,407,598,958 with Prime Factorization
2 | 931, 218, 407, 598, 958 |
931, 109, 407, 299, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 931 x 109 x 407 x 299 x 479 = 11830614021226
Therefore, the lowest common multiple of 931,218,407,598,958 is 11830614021226.
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.
931 x 218 x 407 x 598 x 958 = 47322456084904
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.
931 : 1, 7, 19, 49, 133, 931
218 : 1, 2, 109, 218
407 : 1, 11, 37, 407
598 : 1, 2, 13, 23, 26, 46, 299, 598
958 : 1, 2, 479, 958
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,218,407,598,958, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
218:2x 109
407:11x 37
598:2x 13x 23
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.
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 = 47322456084904/(1x4)
LCM = 47322456084904/4
LCM = 11830614021226
Thus, we can understand that the LCM of 931,218,407,598,958 is 11830614021226.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 931, 218, 407, 598, 958?
Answer: LCM of 931, 218, 407, 598, 958 is 11830614021226.
2. How to calculate the LCM of 931, 218, 407, 598, 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 931, 218, 407, 598, 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}.