Find the LCM of 819, 857, 442, 235 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 819, 857, 442, 235. So, keep reading to learn more.
Given numbers are 819,857,442,235
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,857,442,235 is 5608045170.
Find LCM of 819,857,442,235 with Prime Factorization
13 | 819, 857, 442, 235 |
63, 857, 34, 235 |
Multiply the prime numbers at the bottom and the left side.
13 x 63 x 857 x 34 x 235 = 5608045170
Therefore, the lowest common multiple of 819,857,442,235 is 5608045170.
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.
819 x 857 x 442 x 235 = 72904587210
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
857 : 1, 857
442 : 1, 2, 13, 17, 26, 34, 221, 442
235 : 1, 5, 47, 235
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,857,442,235, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
857:857
442:2x 13x 17
235:5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 72904587210/(1x13)
LCM = 72904587210/13
LCM = 5608045170
Thus, we can understand that the LCM of 819,857,442,235 is 5608045170.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 819, 857, 442, 235?
Answer: LCM of 819, 857, 442, 235 is 5608045170.
2. How to calculate the LCM of 819, 857, 442, 235?
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 819, 857, 442, 235.
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}.