Find the LCM of 319, 928, 137, 394 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 319, 928, 137, 394. So, keep reading to learn more.
Given numbers are 319,928,137,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,928,137,394 is 275503712.
Find LCM of 319,928,137,394 with Prime Factorization
2 | 319, 928, 137, 394 |
29 | 319, 464, 137, 197 |
11, 16, 137, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 11 x 16 x 137 x 197 = 275503712
Therefore, the lowest common multiple of 319,928,137,394 is 275503712.
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.
319 x 928 x 137 x 394 = 15979215296
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.
319 : 1, 11, 29, 319
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
137 : 1, 137
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,928,137,394, is 1.
Now, the common factors can be found like this.
319:11x 29
928:2x 2x 2x 2x 2x 29
137:137
394:2x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29 = 58
Therefore, the value for common factors is 58.
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 = 15979215296/(1x58)
LCM = 15979215296/58
LCM = 275503712
Thus, we can understand that the LCM of 319,928,137,394 is 275503712.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 928, 137, 394?
Answer: LCM of 319, 928, 137, 394 is 275503712.
2. How to calculate the LCM of 319, 928, 137, 394?
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 319, 928, 137, 394.
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}.