Find the LCM of 845, 871, 801, 898, 243 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 845, 871, 801, 898, 243. So, keep reading to learn more.
Given numbers are 845,871,801,898,243
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,871,801,898,243 is 1099522519290.
Find LCM of 845,871,801,898,243 with Prime Factorization
3 | 845, 871, 801, 898, 243 |
3 | 845, 871, 267, 898, 81 |
13 | 845, 871, 89, 898, 27 |
65, 67, 89, 898, 27 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 65 x 67 x 89 x 898 x 27 = 1099522519290
Therefore, the lowest common multiple of 845,871,801,898,243 is 1099522519290.
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.
845 x 871 x 801 x 898 x 243 = 128644134756930
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.
845 : 1, 5, 13, 65, 169, 845
871 : 1, 13, 67, 871
801 : 1, 3, 9, 89, 267, 801
898 : 1, 2, 449, 898
243 : 1, 3, 9, 27, 81, 243
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,871,801,898,243, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
871:13x 67
801:3x 3x 89
898:2x 449
243:3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 128644134756930/(1x117)
LCM = 128644134756930/117
LCM = 1099522519290
Thus, we can understand that the LCM of 845,871,801,898,243 is 1099522519290.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 845, 871, 801, 898, 243?
Answer: LCM of 845, 871, 801, 898, 243 is 1099522519290.
2. How to calculate the LCM of 845, 871, 801, 898, 243?
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 845, 871, 801, 898, 243.
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}.