Find the LCM of 871, 121, 679, 514, 398 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 871, 121, 679, 514, 398. So, keep reading to learn more.
Given numbers are 871,121,679,514,398
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,121,679,514,398 is 7319636177854.
Find LCM of 871,121,679,514,398 with Prime Factorization
2 | 871, 121, 679, 514, 398 |
871, 121, 679, 257, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 871 x 121 x 679 x 257 x 199 = 7319636177854
Therefore, the lowest common multiple of 871,121,679,514,398 is 7319636177854.
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.
871 x 121 x 679 x 514 x 398 = 14639272355708
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.
871 : 1, 13, 67, 871
121 : 1, 11, 121
679 : 1, 7, 97, 679
514 : 1, 2, 257, 514
398 : 1, 2, 199, 398
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,121,679,514,398, is 1.
Now, the common factors can be found like this.
871:13x 67
121:11x 11
679:7x 97
514:2x 257
398:2x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 14639272355708/(1x2)
LCM = 14639272355708/2
LCM = 7319636177854
Thus, we can understand that the LCM of 871,121,679,514,398 is 7319636177854.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 871, 121, 679, 514, 398?
Answer: LCM of 871, 121, 679, 514, 398 is 7319636177854.
2. How to calculate the LCM of 871, 121, 679, 514, 398?
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 871, 121, 679, 514, 398.
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}.