Find the LCM of 939, 313, 341 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 939, 313, 341. So, keep reading to learn more.
Given numbers are 939,313,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,313,341 is 320199.
Find LCM of 939,313,341 with Prime Factorization
313 | 939, 313, 341 |
3, 1, 341 |
Multiply the prime numbers at the bottom and the left side.
313 x 3 x 1 x 341 = 320199
Therefore, the lowest common multiple of 939,313,341 is 320199.
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.
939 x 313 x 341 = 100222287
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.
939 : 1, 3, 313, 939
313 : 1, 313
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,313,341, is 1.
Now, the common factors can be found like this.
939:3x 313
313:313
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
313 = 313
Therefore, the value for common factors is 313.
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 = 100222287/(1x313)
LCM = 100222287/313
LCM = 320199
Thus, we can understand that the LCM of 939,313,341 is 320199.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 939, 313, 341?
Answer: LCM of 939, 313, 341 is 320199.
2. How to calculate the LCM of 939, 313, 341?
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 939, 313, 341.
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}.