Find the LCM of 722, 415, 313, 313 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 722, 415, 313, 313. So, keep reading to learn more.
Given numbers are 722,415,313,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,415,313,313 is 93784190.
Find LCM of 722,415,313,313 with Prime Factorization
313 | 722, 415, 313, 313 |
722, 415, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
313 x 722 x 415 x 1 x 1 = 93784190
Therefore, the lowest common multiple of 722,415,313,313 is 93784190.
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.
722 x 415 x 313 x 313 = 29354451470
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.
722 : 1, 2, 19, 38, 361, 722
415 : 1, 5, 83, 415
313 : 1, 313
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,415,313,313, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
415:5x 83
313:313
313:313
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 = 29354451470/(1x313)
LCM = 29354451470/313
LCM = 93784190
Thus, we can understand that the LCM of 722,415,313,313 is 93784190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 415, 313, 313?
Answer: LCM of 722, 415, 313, 313 is 93784190.
2. How to calculate the LCM of 722, 415, 313, 313?
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 722, 415, 313, 313.
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}.