LCM of 791, 437, 873, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 791, 437, 873, 805 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 791, 437, 873, 805. So, keep reading to learn more.
Given numbers are 791,437,873,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,437,873,805 is 1508836455.
Find LCM of 791,437,873,805 with Prime Factorization
| 7 | 791, 437, 873, 805 |
| 23 | 113, 437, 873, 115 |
| 113, 19, 873, 5 |
Multiply the prime numbers at the bottom and the left side.
7 x 23 x 113 x 19 x 873 x 5 = 1508836455
Therefore, the lowest common multiple of 791,437,873,805 is 1508836455.
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.
791 x 437 x 873 x 805 = 242922669255
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.
791 : 1, 7, 113, 791
437 : 1, 19, 23, 437
873 : 1, 3, 9, 97, 291, 873
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,437,873,805, is 1.
Now, the common factors can be found like this.
791:7x 113
437:19x 23
873:3x 3x 97
805:5x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 23 = 161
Therefore, the value for common factors is 161.
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 = 242922669255/(1x161)
LCM = 242922669255/161
LCM = 1508836455
Thus, we can understand that the LCM of 791,437,873,805 is 1508836455.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 791, 437, 873, 805
1. What is the LCM of 791, 437, 873, 805?
Answer: LCM of 791, 437, 873, 805 is 1508836455.
2. How to calculate the LCM of 791, 437, 873, 805?
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 791, 437, 873, 805.
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}.