LCM of 861, 819, 566, 923, 873
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 819, 566, 923, 873 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 861, 819, 566, 923, 873. So, keep reading to learn more.
Given numbers are 861,819,566,923,873
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,819,566,923,873 is 130892352318.
Find LCM of 861,819,566,923,873 with Prime Factorization
| 3 | 861, 819, 566, 923, 873 |
| 3 | 287, 273, 566, 923, 291 |
| 7 | 287, 91, 566, 923, 97 |
| 13 | 41, 13, 566, 923, 97 |
| 41, 1, 566, 71, 97 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 13 x 41 x 1 x 566 x 71 x 97 = 130892352318
Therefore, the lowest common multiple of 861,819,566,923,873 is 130892352318.
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.
861 x 819 x 566 x 923 x 873 = 321602509645326
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
566 : 1, 2, 283, 566
923 : 1, 13, 71, 923
873 : 1, 3, 9, 97, 291, 873
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,819,566,923,873, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
819:3x 3x 7x 13
566:2x 283
923:13x 71
873:3x 3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 13 = 2457
Therefore, the value for common factors is 2457.
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 = 321602509645326/(1x2457)
LCM = 321602509645326/2457
LCM = 130892352318
Thus, we can understand that the LCM of 861,819,566,923,873 is 130892352318.
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FAQs on LCM of 861, 819, 566, 923, 873
1. What is the LCM of 861, 819, 566, 923, 873?
Answer: LCM of 861, 819, 566, 923, 873 is 130892352318.
2. How to calculate the LCM of 861, 819, 566, 923, 873?
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 861, 819, 566, 923, 873.
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}.