Find the LCM of 998, 777, 538, 296, 989 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, 777, 538, 296, 989. So, keep reading to learn more.
Given numbers are 998,777,538,296,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,777,538,296,989 is 825201717144.
Find LCM of 998,777,538,296,989 with Prime Factorization
2 | 998, 777, 538, 296, 989 |
37 | 499, 777, 269, 148, 989 |
499, 21, 269, 4, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 499 x 21 x 269 x 4 x 989 = 825201717144
Therefore, the lowest common multiple of 998,777,538,296,989 is 825201717144.
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 777 x 538 x 296 x 989 = 122129854137312
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
777 : 1, 3, 7, 21, 37, 111, 259, 777
538 : 1, 2, 269, 538
296 : 1, 2, 4, 8, 37, 74, 148, 296
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,777,538,296,989, is 1.
Now, the common factors can be found like this.
998:2x 499
777:3x 7x 37
538:2x 269
296:2x 2x 2x 37
989:23x 43
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 37 = 148
Therefore, the value for common factors is 148.
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 = 122129854137312/(1x148)
LCM = 122129854137312/148
LCM = 825201717144
Thus, we can understand that the LCM of 998,777,538,296,989 is 825201717144.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 777, 538, 296, 989?
Answer: LCM of 998, 777, 538, 296, 989 is 825201717144.
2. How to calculate the LCM of 998, 777, 538, 296, 989?
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, 777, 538, 296, 989.
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}.