LCM of 323, 731, 986, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 731, 986, 629 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 323, 731, 986, 629. So, keep reading to learn more.
Given numbers are 323,731,986,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,731,986,629 is 29805794.
Find LCM of 323,731,986,629 with Prime Factorization
| 17 | 323, 731, 986, 629 |
| 19, 43, 58, 37 |
Multiply the prime numbers at the bottom and the left side.
17 x 19 x 43 x 58 x 37 = 29805794
Therefore, the lowest common multiple of 323,731,986,629 is 29805794.
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.
323 x 731 x 986 x 629 = 146435865922
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.
323 : 1, 17, 19, 323
731 : 1, 17, 43, 731
986 : 1, 2, 17, 29, 34, 58, 493, 986
629 : 1, 17, 37, 629
17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,731,986,629, is 17.
Now, the common factors can be found like this.
323:17x 19
731:17x 43
986:2x 17x 29
629:17x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 17 = 289
Therefore, the value for common factors is 289.
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 = 146435865922/(17x289)
LCM = 146435865922/4913
LCM = 29805794
Thus, we can understand that the LCM of 323,731,986,629 is 29805794.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 323, 731, 986, 629
1. What is the LCM of 323, 731, 986, 629?
Answer: LCM of 323, 731, 986, 629 is 29805794.
2. How to calculate the LCM of 323, 731, 986, 629?
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 323, 731, 986, 629.
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}.