Find the LCM of 998, 476, 919, 919 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 998, 476, 919, 919. So, keep reading to learn more.
Given numbers are 998,476,919,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,476,919,919 is 218284556.
Find LCM of 998,476,919,919 with Prime Factorization
2 | 998, 476, 919, 919 |
919 | 499, 238, 919, 919 |
499, 238, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 919 x 499 x 238 x 1 x 1 = 218284556
Therefore, the lowest common multiple of 998,476,919,919 is 218284556.
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.
998 x 476 x 919 x 919 = 401207013928
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.
998 : 1, 2, 499, 998
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
919 : 1, 919
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,476,919,919, is 1.
Now, the common factors can be found like this.
998:2x 499
476:2x 2x 7x 17
919:919
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 919 = 1838
Therefore, the value for common factors is 1838.
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 = 401207013928/(1x1838)
LCM = 401207013928/1838
LCM = 218284556
Thus, we can understand that the LCM of 998,476,919,919 is 218284556.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 476, 919, 919?
Answer: LCM of 998, 476, 919, 919 is 218284556.
2. How to calculate the LCM of 998, 476, 919, 919?
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 998, 476, 919, 919.
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}.