Find the LCM of 990, 374, 814, 853 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 990, 374, 814, 853. So, keep reading to learn more.
Given numbers are 990,374,814,853
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 990,374,814,853 is 531171630.
Find LCM of 990,374,814,853 with Prime Factorization
2 | 990, 374, 814, 853 |
11 | 495, 187, 407, 853 |
45, 17, 37, 853 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 45 x 17 x 37 x 853 = 531171630
Therefore, the lowest common multiple of 990,374,814,853 is 531171630.
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.
990 x 374 x 814 x 853 = 257087068920
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.
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
374 : 1, 2, 11, 17, 22, 34, 187, 374
814 : 1, 2, 11, 22, 37, 74, 407, 814
853 : 1, 853
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,374,814,853, is 1.
Now, the common factors can be found like this.
990:2x 3x 3x 5x 11
374:2x 11x 17
814:2x 11x 37
853:853
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 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 257087068920/(1x484)
LCM = 257087068920/484
LCM = 531171630
Thus, we can understand that the LCM of 990,374,814,853 is 531171630.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 990, 374, 814, 853?
Answer: LCM of 990, 374, 814, 853 is 531171630.
2. How to calculate the LCM of 990, 374, 814, 853?
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 990, 374, 814, 853.
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}.