Find the LCM of 993, 106, 407, 259 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 993, 106, 407, 259. So, keep reading to learn more.
Given numbers are 993,106,407,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,106,407,259 is 299880042.
Find LCM of 993,106,407,259 with Prime Factorization
37 | 993, 106, 407, 259 |
993, 106, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
37 x 993 x 106 x 11 x 7 = 299880042
Therefore, the lowest common multiple of 993,106,407,259 is 299880042.
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.
993 x 106 x 407 x 259 = 11095561554
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.
993 : 1, 3, 331, 993
106 : 1, 2, 53, 106
407 : 1, 11, 37, 407
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,106,407,259, is 1.
Now, the common factors can be found like this.
993:3x 331
106:2x 53
407:11x 37
259:7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
37 = 37
Therefore, the value for common factors is 37.
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 = 11095561554/(1x37)
LCM = 11095561554/37
LCM = 299880042
Thus, we can understand that the LCM of 993,106,407,259 is 299880042.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 993, 106, 407, 259?
Answer: LCM of 993, 106, 407, 259 is 299880042.
2. How to calculate the LCM of 993, 106, 407, 259?
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 993, 106, 407, 259.
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}.