LCM of 379, 319, 715, 516, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 319, 715, 516, 891 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 379, 319, 715, 516, 891. So, keep reading to learn more.
Given numbers are 379,319,715,516,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,319,715,516,891 is 109485527580.
Find LCM of 379,319,715,516,891 with Prime Factorization
| 3 | 379, 319, 715, 516, 891 |
| 11 | 379, 319, 715, 172, 297 |
| 379, 29, 65, 172, 27 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 379 x 29 x 65 x 172 x 27 = 109485527580
Therefore, the lowest common multiple of 379,319,715,516,891 is 109485527580.
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.
379 x 319 x 715 x 516 x 891 = 39743246511540
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.
379 : 1, 379
319 : 1, 11, 29, 319
715 : 1, 5, 11, 13, 55, 65, 143, 715
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,319,715,516,891, is 1.
Now, the common factors can be found like this.
379:379
319:11x 29
715:5x 11x 13
516:2x 2x 3x 43
891:3x 3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11 = 363
Therefore, the value for common factors is 363.
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 = 39743246511540/(1x363)
LCM = 39743246511540/363
LCM = 109485527580
Thus, we can understand that the LCM of 379,319,715,516,891 is 109485527580.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 379, 319, 715, 516, 891
1. What is the LCM of 379, 319, 715, 516, 891?
Answer: LCM of 379, 319, 715, 516, 891 is 109485527580.
2. How to calculate the LCM of 379, 319, 715, 516, 891?
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 379, 319, 715, 516, 891.
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}.