Find the LCM of 814, 391, 187, 793, 789 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 814, 391, 187, 793, 789. So, keep reading to learn more.
Given numbers are 814,391,187,793,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,391,187,793,789 is 199136721498.
Find LCM of 814,391,187,793,789 with Prime Factorization
11 | 814, 391, 187, 793, 789 |
17 | 74, 391, 17, 793, 789 |
74, 23, 1, 793, 789 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 74 x 23 x 1 x 793 x 789 = 199136721498
Therefore, the lowest common multiple of 814,391,187,793,789 is 199136721498.
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.
814 x 391 x 187 x 793 x 789 = 37238566920126
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
391 : 1, 17, 23, 391
187 : 1, 11, 17, 187
793 : 1, 13, 61, 793
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,391,187,793,789, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
391:17x 23
187:11x 17
793:13x 61
789:3x 263
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17 = 187
Therefore, the value for common factors is 187.
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 = 37238566920126/(1x187)
LCM = 37238566920126/187
LCM = 199136721498
Thus, we can understand that the LCM of 814,391,187,793,789 is 199136721498.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 391, 187, 793, 789?
Answer: LCM of 814, 391, 187, 793, 789 is 199136721498.
2. How to calculate the LCM of 814, 391, 187, 793, 789?
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 814, 391, 187, 793, 789.
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}.