LCM of 517, 995, 893, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 995, 893, 765 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 517, 995, 893, 765. So, keep reading to learn more.
Given numbers are 517,995,893,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,995,893,765 is 1495404405.
Find LCM of 517,995,893,765 with Prime Factorization
| 5 | 517, 995, 893, 765 |
| 47 | 517, 199, 893, 153 |
| 11, 199, 19, 153 |
Multiply the prime numbers at the bottom and the left side.
5 x 47 x 11 x 199 x 19 x 153 = 1495404405
Therefore, the lowest common multiple of 517,995,893,765 is 1495404405.
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.
517 x 995 x 893 x 765 = 351420035175
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.
517 : 1, 11, 47, 517
995 : 1, 5, 199, 995
893 : 1, 19, 47, 893
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,995,893,765, is 1.
Now, the common factors can be found like this.
517:11x 47
995:5x 199
893:19x 47
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 47 = 235
Therefore, the value for common factors is 235.
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 = 351420035175/(1x235)
LCM = 351420035175/235
LCM = 1495404405
Thus, we can understand that the LCM of 517,995,893,765 is 1495404405.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 517, 995, 893, 765
1. What is the LCM of 517, 995, 893, 765?
Answer: LCM of 517, 995, 893, 765 is 1495404405.
2. How to calculate the LCM of 517, 995, 893, 765?
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 517, 995, 893, 765.
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}.