Find the LCM of 353, 331, 331, 393 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 353, 331, 331, 393. So, keep reading to learn more.
Given numbers are 353,331,331,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,331,331,393 is 45919299.
Find LCM of 353,331,331,393 with Prime Factorization
331 | 353, 331, 331, 393 |
353, 1, 1, 393 |
Multiply the prime numbers at the bottom and the left side.
331 x 353 x 1 x 1 x 393 = 45919299
Therefore, the lowest common multiple of 353,331,331,393 is 45919299.
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.
353 x 331 x 331 x 393 = 15199287969
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.
353 : 1, 353
331 : 1, 331
331 : 1, 331
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,331,331,393, is 1.
Now, the common factors can be found like this.
353:353
331:331
331:331
393:3x 131
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 = 15199287969/(1x331)
LCM = 15199287969/331
LCM = 45919299
Thus, we can understand that the LCM of 353,331,331,393 is 45919299.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 353, 331, 331, 393?
Answer: LCM of 353, 331, 331, 393 is 45919299.
2. How to calculate the LCM of 353, 331, 331, 393?
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 353, 331, 331, 393.
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}.