Find the LCM of 188, 793, 947, 186, 793 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, 793, 947, 186, 793. So, keep reading to learn more.
Given numbers are 188,793,947,186,793
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,793,947,186,793 is 13129976964.
Find LCM of 188,793,947,186,793 with Prime Factorization
2 | 188, 793, 947, 186, 793 |
13 | 94, 793, 947, 93, 793 |
61 | 94, 61, 947, 93, 61 |
94, 1, 947, 93, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 61 x 94 x 1 x 947 x 93 x 1 = 13129976964
Therefore, the lowest common multiple of 188,793,947,186,793 is 13129976964.
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 793 x 947 x 186 x 793 = 20824143464904
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
793 : 1, 13, 61, 793
947 : 1, 947
186 : 1, 2, 3, 6, 31, 62, 93, 186
793 : 1, 13, 61, 793
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,793,947,186,793, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
793:13x 61
947:947
186:2x 3x 31
793:13x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 61 = 1586
Therefore, the value for common factors is 1586.
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 = 20824143464904/(1x1586)
LCM = 20824143464904/1586
LCM = 13129976964
Thus, we can understand that the LCM of 188,793,947,186,793 is 13129976964.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 188, 793, 947, 186, 793?
Answer: LCM of 188, 793, 947, 186, 793 is 13129976964.
2. How to calculate the LCM of 188, 793, 947, 186, 793?
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, 793, 947, 186, 793.
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}.