Find the LCM of 931, 869, 514, 139, 478 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, 869, 514, 139, 478. So, keep reading to learn more.
Given numbers are 931,869,514,139,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,869,514,139,478 is 13814821494166.
Find LCM of 931,869,514,139,478 with Prime Factorization
2 | 931, 869, 514, 139, 478 |
931, 869, 257, 139, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 931 x 869 x 257 x 139 x 239 = 13814821494166
Therefore, the lowest common multiple of 931,869,514,139,478 is 13814821494166.
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 869 x 514 x 139 x 478 = 27629642988332
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
869 : 1, 11, 79, 869
514 : 1, 2, 257, 514
139 : 1, 139
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,869,514,139,478, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
869:11x 79
514:2x 257
139:139
478:2x 239
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 = 27629642988332/(1x2)
LCM = 27629642988332/2
LCM = 13814821494166
Thus, we can understand that the LCM of 931,869,514,139,478 is 13814821494166.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 931, 869, 514, 139, 478?
Answer: LCM of 931, 869, 514, 139, 478 is 13814821494166.
2. How to calculate the LCM of 931, 869, 514, 139, 478?
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, 869, 514, 139, 478.
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}.