Find the LCM of 5, 311, 978, 998 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 5, 311, 978, 998. So, keep reading to learn more.
Given numbers are 5,311,978,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 5,311,978,998 is 758874210.
Find LCM of 5,311,978,998 with Prime Factorization
2 | 5, 311, 978, 998 |
5, 311, 489, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 311 x 489 x 499 = 758874210
Therefore, the lowest common multiple of 5,311,978,998 is 758874210.
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.
5 x 311 x 978 x 998 = 1517748420
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.
5 : 1, 5
311 : 1, 311
978 : 1, 2, 3, 6, 163, 326, 489, 978
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5,311,978,998, is 1.
Now, the common factors can be found like this.
5:5
311:311
978:2x 3x 163
998:2x 499
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 1517748420/(1x2)
LCM = 1517748420/2
LCM = 758874210
Thus, we can understand that the LCM of 5,311,978,998 is 758874210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 5, 311, 978, 998?
Answer: LCM of 5, 311, 978, 998 is 758874210.
2. How to calculate the LCM of 5, 311, 978, 998?
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 5, 311, 978, 998.
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}.