Find the LCM of 412, 713, 589, 871 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 412, 713, 589, 871. So, keep reading to learn more.
Given numbers are 412,713,589,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,713,589,871 is 4861368044.
Find LCM of 412,713,589,871 with Prime Factorization
31 | 412, 713, 589, 871 |
412, 23, 19, 871 |
Multiply the prime numbers at the bottom and the left side.
31 x 412 x 23 x 19 x 871 = 4861368044
Therefore, the lowest common multiple of 412,713,589,871 is 4861368044.
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.
412 x 713 x 589 x 871 = 150702409364
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.
412 : 1, 2, 4, 103, 206, 412
713 : 1, 23, 31, 713
589 : 1, 19, 31, 589
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,713,589,871, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
713:23x 31
589:19x 31
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
31 = 31
Therefore, the value for common factors is 31.
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 = 150702409364/(1x31)
LCM = 150702409364/31
LCM = 4861368044
Thus, we can understand that the LCM of 412,713,589,871 is 4861368044.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 412, 713, 589, 871?
Answer: LCM of 412, 713, 589, 871 is 4861368044.
2. How to calculate the LCM of 412, 713, 589, 871?
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 412, 713, 589, 871.
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}.