Find the LCM of 388, 692, 872, 132, 891 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 388, 692, 872, 132, 891. So, keep reading to learn more.
Given numbers are 388,692,872,132,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,692,872,132,891 is 13038031512.
Find LCM of 388,692,872,132,891 with Prime Factorization
2 | 388, 692, 872, 132, 891 |
2 | 194, 346, 436, 66, 891 |
3 | 97, 173, 218, 33, 891 |
11 | 97, 173, 218, 11, 297 |
97, 173, 218, 1, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 97 x 173 x 218 x 1 x 27 = 13038031512
Therefore, the lowest common multiple of 388,692,872,132,891 is 13038031512.
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.
388 x 692 x 872 x 132 x 891 = 27536322553344
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.
388 : 1, 2, 4, 97, 194, 388
692 : 1, 2, 4, 173, 346, 692
872 : 1, 2, 4, 8, 109, 218, 436, 872
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,692,872,132,891, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
692:2x 2x 173
872:2x 2x 2x 109
132:2x 2x 3x 11
891:3x 3x 3x 3x 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 2x 2x 2x 2x 3x 11 = 2112
Therefore, the value for common factors is 2112.
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 = 27536322553344/(1x2112)
LCM = 27536322553344/2112
LCM = 13038031512
Thus, we can understand that the LCM of 388,692,872,132,891 is 13038031512.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 388, 692, 872, 132, 891?
Answer: LCM of 388, 692, 872, 132, 891 is 13038031512.
2. How to calculate the LCM of 388, 692, 872, 132, 891?
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 388, 692, 872, 132, 891.
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}.