Find the LCM of 992, 819, 871, 744, 906 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 992, 819, 871, 744, 906. So, keep reading to learn more.
Given numbers are 992,819,871,744,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,819,871,744,906 is 8219536416.
Find LCM of 992,819,871,744,906 with Prime Factorization
2 | 992, 819, 871, 744, 906 |
2 | 496, 819, 871, 372, 453 |
2 | 248, 819, 871, 186, 453 |
3 | 124, 819, 871, 93, 453 |
13 | 124, 273, 871, 31, 151 |
31 | 124, 21, 67, 31, 151 |
4, 21, 67, 1, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 31 x 4 x 21 x 67 x 1 x 151 = 8219536416
Therefore, the lowest common multiple of 992,819,871,744,906 is 8219536416.
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.
992 x 819 x 871 x 744 x 906 = 476996137293312
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
871 : 1, 13, 67, 871
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,819,871,744,906, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
819:3x 3x 7x 13
871:13x 67
744:2x 2x 2x 3x 31
906:2x 3x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 13x 31 = 58032
Therefore, the value for common factors is 58032.
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 = 476996137293312/(1x58032)
LCM = 476996137293312/58032
LCM = 8219536416
Thus, we can understand that the LCM of 992,819,871,744,906 is 8219536416.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 992, 819, 871, 744, 906?
Answer: LCM of 992, 819, 871, 744, 906 is 8219536416.
2. How to calculate the LCM of 992, 819, 871, 744, 906?
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 992, 819, 871, 744, 906.
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}.