Find the LCM of 979, 317, 250, 820, 386 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 979, 317, 250, 820, 386. So, keep reading to learn more.
Given numbers are 979,317,250,820,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,317,250,820,386 is 1227872079500.
Find LCM of 979,317,250,820,386 with Prime Factorization
2 | 979, 317, 250, 820, 386 |
5 | 979, 317, 125, 410, 193 |
979, 317, 25, 82, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 979 x 317 x 25 x 82 x 193 = 1227872079500
Therefore, the lowest common multiple of 979,317,250,820,386 is 1227872079500.
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.
979 x 317 x 250 x 820 x 386 = 24557441590000
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.
979 : 1, 11, 89, 979
317 : 1, 317
250 : 1, 2, 5, 10, 25, 50, 125, 250
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
386 : 1, 2, 193, 386
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,317,250,820,386, is 1.
Now, the common factors can be found like this.
979:11x 89
317:317
250:2x 5x 5x 5
820:2x 2x 5x 41
386:2x 193
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 5 = 20
Therefore, the value for common factors is 20.
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 = 24557441590000/(1x20)
LCM = 24557441590000/20
LCM = 1227872079500
Thus, we can understand that the LCM of 979,317,250,820,386 is 1227872079500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 317, 250, 820, 386?
Answer: LCM of 979, 317, 250, 820, 386 is 1227872079500.
2. How to calculate the LCM of 979, 317, 250, 820, 386?
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 979, 317, 250, 820, 386.
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}.