Find the LCM of 539, 931, 388, 121, 968 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 539, 931, 388, 121, 968. So, keep reading to learn more.
Given numbers are 539,931,388,121,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,931,388,121,968 is 87417176.
Find LCM of 539,931,388,121,968 with Prime Factorization
2 | 539, 931, 388, 121, 968 |
2 | 539, 931, 194, 121, 484 |
7 | 539, 931, 97, 121, 242 |
7 | 77, 133, 97, 121, 242 |
11 | 11, 19, 97, 121, 242 |
11 | 1, 19, 97, 11, 22 |
1, 19, 97, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 11 x 11 x 1 x 19 x 97 x 1 x 2 = 87417176
Therefore, the lowest common multiple of 539,931,388,121,968 is 87417176.
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.
539 x 931 x 388 x 121 x 968 = 22805043206176
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.
539 : 1, 7, 11, 49, 77, 539
931 : 1, 7, 19, 49, 133, 931
388 : 1, 2, 4, 97, 194, 388
121 : 1, 11, 121
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,931,388,121,968, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
931:7x 7x 19
388:2x 2x 97
121:11x 11
968:2x 2x 2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7x 7x 11x 11x 11 = 260876
Therefore, the value for common factors is 260876.
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 = 22805043206176/(1x260876)
LCM = 22805043206176/260876
LCM = 87417176
Thus, we can understand that the LCM of 539,931,388,121,968 is 87417176.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 539, 931, 388, 121, 968?
Answer: LCM of 539, 931, 388, 121, 968 is 87417176.
2. How to calculate the LCM of 539, 931, 388, 121, 968?
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 539, 931, 388, 121, 968.
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}.