Find the LCM of 872, 835, 167, 589 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 872, 835, 167, 589. So, keep reading to learn more.
Given numbers are 872,835,167,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,835,167,589 is 428862680.
Find LCM of 872,835,167,589 with Prime Factorization
167 | 872, 835, 167, 589 |
872, 5, 1, 589 |
Multiply the prime numbers at the bottom and the left side.
167 x 872 x 5 x 1 x 589 = 428862680
Therefore, the lowest common multiple of 872,835,167,589 is 428862680.
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.
872 x 835 x 167 x 589 = 71620067560
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
835 : 1, 5, 167, 835
167 : 1, 167
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,835,167,589, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
835:5x 167
167:167
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
167 = 167
Therefore, the value for common factors is 167.
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 = 71620067560/(1x167)
LCM = 71620067560/167
LCM = 428862680
Thus, we can understand that the LCM of 872,835,167,589 is 428862680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 872, 835, 167, 589?
Answer: LCM of 872, 835, 167, 589 is 428862680.
2. How to calculate the LCM of 872, 835, 167, 589?
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 872, 835, 167, 589.
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}.