Find the LCM of 325, 874, 857, 602, 165 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 325, 874, 857, 602, 165. So, keep reading to learn more.
Given numbers are 325,874,857,602,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 325,874,857,602,165 is 2417998633050.
Find LCM of 325,874,857,602,165 with Prime Factorization
2 | 325, 874, 857, 602, 165 |
5 | 325, 437, 857, 301, 165 |
65, 437, 857, 301, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 65 x 437 x 857 x 301 x 33 = 2417998633050
Therefore, the lowest common multiple of 325,874,857,602,165 is 2417998633050.
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.
325 x 874 x 857 x 602 x 165 = 24179986330500
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.
325 : 1, 5, 13, 25, 65, 325
874 : 1, 2, 19, 23, 38, 46, 437, 874
857 : 1, 857
602 : 1, 2, 7, 14, 43, 86, 301, 602
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,874,857,602,165, is 1.
Now, the common factors can be found like this.
325:5x 5x 13
874:2x 19x 23
857:857
602:2x 7x 43
165:3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 24179986330500/(1x10)
LCM = 24179986330500/10
LCM = 2417998633050
Thus, we can understand that the LCM of 325,874,857,602,165 is 2417998633050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 325, 874, 857, 602, 165?
Answer: LCM of 325, 874, 857, 602, 165 is 2417998633050.
2. How to calculate the LCM of 325, 874, 857, 602, 165?
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 325, 874, 857, 602, 165.
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}.