Find the LCM of 898, 507, 793, 801 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 898, 507, 793, 801. So, keep reading to learn more.
Given numbers are 898,507,793,801
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,507,793,801 is 7415243082.
Find LCM of 898,507,793,801 with Prime Factorization
3 | 898, 507, 793, 801 |
13 | 898, 169, 793, 267 |
898, 13, 61, 267 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 898 x 13 x 61 x 267 = 7415243082
Therefore, the lowest common multiple of 898,507,793,801 is 7415243082.
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.
898 x 507 x 793 x 801 = 289194480198
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.
898 : 1, 2, 449, 898
507 : 1, 3, 13, 39, 169, 507
793 : 1, 13, 61, 793
801 : 1, 3, 9, 89, 267, 801
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,507,793,801, is 1.
Now, the common factors can be found like this.
898:2x 449
507:3x 13x 13
793:13x 61
801:3x 3x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 289194480198/(1x39)
LCM = 289194480198/39
LCM = 7415243082
Thus, we can understand that the LCM of 898,507,793,801 is 7415243082.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 898, 507, 793, 801?
Answer: LCM of 898, 507, 793, 801 is 7415243082.
2. How to calculate the LCM of 898, 507, 793, 801?
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 898, 507, 793, 801.
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}.