Find the LCM of 814, 993, 391, 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 814, 993, 391, 386. So, keep reading to learn more.
Given numbers are 814,993,391,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,993,391,386 is 60996893826.
Find LCM of 814,993,391,386 with Prime Factorization
2 | 814, 993, 391, 386 |
407, 993, 391, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 407 x 993 x 391 x 193 = 60996893826
Therefore, the lowest common multiple of 814,993,391,386 is 60996893826.
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.
814 x 993 x 391 x 386 = 121993787652
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
993 : 1, 3, 331, 993
391 : 1, 17, 23, 391
386 : 1, 2, 193, 386
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,993,391,386, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
993:3x 331
391:17x 23
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.
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 = 121993787652/(1x2)
LCM = 121993787652/2
LCM = 60996893826
Thus, we can understand that the LCM of 814,993,391,386 is 60996893826.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 993, 391, 386?
Answer: LCM of 814, 993, 391, 386 is 60996893826.
2. How to calculate the LCM of 814, 993, 391, 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 814, 993, 391, 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}.