LCM of 6, 516, 717, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6, 516, 717, 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 6, 516, 717, 817. So, keep reading to learn more.
Given numbers are 6,516,717,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6,516,717,817 is 2343156.
Find LCM of 6,516,717,817 with Prime Factorization
| 2 | 6, 516, 717, 817 |
| 3 | 3, 258, 717, 817 |
| 43 | 1, 86, 239, 817 |
| 1, 2, 239, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 1 x 2 x 239 x 19 = 2343156
Therefore, the lowest common multiple of 6,516,717,817 is 2343156.
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.
6 x 516 x 717 x 817 = 1813602744
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.
6 : 1, 2, 3, 6
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
717 : 1, 3, 239, 717
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,516,717,817, is 1.
Now, the common factors can be found like this.
6:2x 3
516:2x 2x 3x 43
717:3x 239
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.
2x 3x 3x 43 = 774
Therefore, the value for common factors is 774.
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 = 1813602744/(1x774)
LCM = 1813602744/774
LCM = 2343156
Thus, we can understand that the LCM of 6,516,717,817 is 2343156.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 6, 516, 717, 817
1. What is the LCM of 6, 516, 717, 817?
Answer: LCM of 6, 516, 717, 817 is 2343156.
2. How to calculate the LCM of 6, 516, 717, 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 6, 516, 717, 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}.