Find the LCM of 188, 791, 504, 227, 931 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 188, 791, 504, 227, 931. So, keep reading to learn more.
Given numbers are 188,791,504,227,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,791,504,227,931 is 80813578104.
Find LCM of 188,791,504,227,931 with Prime Factorization
2 | 188, 791, 504, 227, 931 |
2 | 94, 791, 252, 227, 931 |
7 | 47, 791, 126, 227, 931 |
47, 113, 18, 227, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 47 x 113 x 18 x 227 x 133 = 80813578104
Therefore, the lowest common multiple of 188,791,504,227,931 is 80813578104.
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.
188 x 791 x 504 x 227 x 931 = 15839461308384
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.
188 : 1, 2, 4, 47, 94, 188
791 : 1, 7, 113, 791
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
227 : 1, 227
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,791,504,227,931, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
791:7x 113
504:2x 2x 2x 3x 3x 7
227:227
931:7x 7x 19
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 7 = 196
Therefore, the value for common factors is 196.
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 = 15839461308384/(1x196)
LCM = 15839461308384/196
LCM = 80813578104
Thus, we can understand that the LCM of 188,791,504,227,931 is 80813578104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 188, 791, 504, 227, 931?
Answer: LCM of 188, 791, 504, 227, 931 is 80813578104.
2. How to calculate the LCM of 188, 791, 504, 227, 931?
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 188, 791, 504, 227, 931.
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}.