Find the LCM of 413, 299, 993, 331 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 413, 299, 993, 331. So, keep reading to learn more.
Given numbers are 413,299,993,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 413,299,993,331 is 122622591.
Find LCM of 413,299,993,331 with Prime Factorization
331 | 413, 299, 993, 331 |
413, 299, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
331 x 413 x 299 x 3 x 1 = 122622591
Therefore, the lowest common multiple of 413,299,993,331 is 122622591.
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.
413 x 299 x 993 x 331 = 40588077621
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.
413 : 1, 7, 59, 413
299 : 1, 13, 23, 299
993 : 1, 3, 331, 993
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,299,993,331, is 1.
Now, the common factors can be found like this.
413:7x 59
299:13x 23
993:3x 331
331:331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
331 = 331
Therefore, the value for common factors is 331.
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 = 40588077621/(1x331)
LCM = 40588077621/331
LCM = 122622591
Thus, we can understand that the LCM of 413,299,993,331 is 122622591.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 413, 299, 993, 331?
Answer: LCM of 413, 299, 993, 331 is 122622591.
2. How to calculate the LCM of 413, 299, 993, 331?
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 413, 299, 993, 331.
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}.