Find the LCM of 715, 939, 724, 322, 325 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 715, 939, 724, 322, 325. So, keep reading to learn more.
Given numbers are 715,939,724,322,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,939,724,322,325 is 391296605700.
Find LCM of 715,939,724,322,325 with Prime Factorization
2 | 715, 939, 724, 322, 325 |
5 | 715, 939, 362, 161, 325 |
13 | 143, 939, 362, 161, 65 |
11, 939, 362, 161, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 11 x 939 x 362 x 161 x 5 = 391296605700
Therefore, the lowest common multiple of 715,939,724,322,325 is 391296605700.
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.
715 x 939 x 724 x 322 x 325 = 50868558741000
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
939 : 1, 3, 313, 939
724 : 1, 2, 4, 181, 362, 724
322 : 1, 2, 7, 14, 23, 46, 161, 322
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,939,724,322,325, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
939:3x 313
724:2x 2x 181
322:2x 7x 23
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 50868558741000/(1x130)
LCM = 50868558741000/130
LCM = 391296605700
Thus, we can understand that the LCM of 715,939,724,322,325 is 391296605700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 715, 939, 724, 322, 325?
Answer: LCM of 715, 939, 724, 322, 325 is 391296605700.
2. How to calculate the LCM of 715, 939, 724, 322, 325?
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 715, 939, 724, 322, 325.
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}.