Find the LCM of 989, 184, 928, 622, 474 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 989, 184, 928, 622, 474. So, keep reading to learn more.
Given numbers are 989,184,928,622,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,184,928,622,474 is 67647694944.
Find LCM of 989,184,928,622,474 with Prime Factorization
2 | 989, 184, 928, 622, 474 |
2 | 989, 92, 464, 311, 237 |
2 | 989, 46, 232, 311, 237 |
23 | 989, 23, 116, 311, 237 |
43, 1, 116, 311, 237 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 43 x 1 x 116 x 311 x 237 = 67647694944
Therefore, the lowest common multiple of 989,184,928,622,474 is 67647694944.
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.
989 x 184 x 928 x 622 x 474 = 49788703478784
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.
989 : 1, 23, 43, 989
184 : 1, 2, 4, 8, 23, 46, 92, 184
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
622 : 1, 2, 311, 622
474 : 1, 2, 3, 6, 79, 158, 237, 474
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,184,928,622,474, is 1.
Now, the common factors can be found like this.
989:23x 43
184:2x 2x 2x 23
928:2x 2x 2x 2x 2x 29
622:2x 311
474:2x 3x 79
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 23 = 736
Therefore, the value for common factors is 736.
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 = 49788703478784/(1x736)
LCM = 49788703478784/736
LCM = 67647694944
Thus, we can understand that the LCM of 989,184,928,622,474 is 67647694944.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 184, 928, 622, 474?
Answer: LCM of 989, 184, 928, 622, 474 is 67647694944.
2. How to calculate the LCM of 989, 184, 928, 622, 474?
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 989, 184, 928, 622, 474.
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}.