LCM of 311, 793, 617, 791, 793
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 311, 793, 617, 791, 793 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 311, 793, 617, 791, 793. So, keep reading to learn more.
Given numbers are 311,793,617,791,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,793,617,791,793 is 120363615281.
Find LCM of 311,793,617,791,793 with Prime Factorization
| 13 | 311, 793, 617, 791, 793 |
| 61 | 311, 61, 617, 791, 61 |
| 311, 1, 617, 791, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 61 x 311 x 1 x 617 x 791 x 1 = 120363615281
Therefore, the lowest common multiple of 311,793,617,791,793 is 120363615281.
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.
311 x 793 x 617 x 791 x 793 = 95448346917833
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.
311 : 1, 311
793 : 1, 13, 61, 793
617 : 1, 617
791 : 1, 7, 113, 791
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,793,617,791,793, is 1.
Now, the common factors can be found like this.
311:311
793:13x 61
617:617
791:7x 113
793:13x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 61 = 793
Therefore, the value for common factors is 793.
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 = 95448346917833/(1x793)
LCM = 95448346917833/793
LCM = 120363615281
Thus, we can understand that the LCM of 311,793,617,791,793 is 120363615281.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 311, 793, 617, 791, 793
1. What is the LCM of 311, 793, 617, 791, 793?
Answer: LCM of 311, 793, 617, 791, 793 is 120363615281.
2. How to calculate the LCM of 311, 793, 617, 791, 793?
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 311, 793, 617, 791, 793.
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}.