LCM of 979, 306, 731, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 306, 731, 817 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 979, 306, 731, 817. So, keep reading to learn more.
Given numbers are 979,306,731,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,306,731,817 is 244751958.
Find LCM of 979,306,731,817 with Prime Factorization
| 17 | 979, 306, 731, 817 |
| 43 | 979, 18, 43, 817 |
| 979, 18, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
17 x 43 x 979 x 18 x 1 x 19 = 244751958
Therefore, the lowest common multiple of 979,306,731,817 is 244751958.
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.
979 x 306 x 731 x 817 = 178913681298
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.
979 : 1, 11, 89, 979
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
731 : 1, 17, 43, 731
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,306,731,817, is 1.
Now, the common factors can be found like this.
979:11x 89
306:2x 3x 3x 17
731:17x 43
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 43 = 731
Therefore, the value for common factors is 731.
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 = 178913681298/(1x731)
LCM = 178913681298/731
LCM = 244751958
Thus, we can understand that the LCM of 979,306,731,817 is 244751958.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 979, 306, 731, 817
1. What is the LCM of 979, 306, 731, 817?
Answer: LCM of 979, 306, 731, 817 is 244751958.
2. How to calculate the LCM of 979, 306, 731, 817?
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 979, 306, 731, 817.
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}.