LCM of 184, 633, 981, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 633, 981, 945 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 184, 633, 981, 945. So, keep reading to learn more.
Given numbers are 184,633,981,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,633,981,945 is 3999066120.
Find LCM of 184,633,981,945 with Prime Factorization
| 3 | 184, 633, 981, 945 |
| 3 | 184, 211, 327, 315 |
| 184, 211, 109, 105 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 184 x 211 x 109 x 105 = 3999066120
Therefore, the lowest common multiple of 184,633,981,945 is 3999066120.
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.
184 x 633 x 981 x 945 = 107974785240
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.
184 : 1, 2, 4, 8, 23, 46, 92, 184
633 : 1, 3, 211, 633
981 : 1, 3, 9, 109, 327, 981
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,633,981,945, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
633:3x 211
981:3x 3x 109
945:3x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 107974785240/(1x27)
LCM = 107974785240/27
LCM = 3999066120
Thus, we can understand that the LCM of 184,633,981,945 is 3999066120.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 184, 633, 981, 945
1. What is the LCM of 184, 633, 981, 945?
Answer: LCM of 184, 633, 981, 945 is 3999066120.
2. How to calculate the LCM of 184, 633, 981, 945?
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 184, 633, 981, 945.
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}.