LCM of 511, 891, 741, 946, 182
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 891, 741, 946, 182 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 511, 891, 741, 946, 182. So, keep reading to learn more.
Given numbers are 511,891,741,946,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,891,741,946,182 is 9671503842.
Find LCM of 511,891,741,946,182 with Prime Factorization
| 2 | 511, 891, 741, 946, 182 |
| 3 | 511, 891, 741, 473, 91 |
| 7 | 511, 297, 247, 473, 91 |
| 11 | 73, 297, 247, 473, 13 |
| 13 | 73, 27, 247, 43, 13 |
| 73, 27, 19, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 13 x 73 x 27 x 19 x 43 x 1 = 9671503842
Therefore, the lowest common multiple of 511,891,741,946,182 is 9671503842.
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.
511 x 891 x 741 x 946 x 182 = 58087052075052
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.
511 : 1, 7, 73, 511
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
741 : 1, 3, 13, 19, 39, 57, 247, 741
946 : 1, 2, 11, 22, 43, 86, 473, 946
182 : 1, 2, 7, 13, 14, 26, 91, 182
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,891,741,946,182, is 1.
Now, the common factors can be found like this.
511:7x 73
891:3x 3x 3x 3x 11
741:3x 13x 19
946:2x 11x 43
182:2x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11x 13 = 6006
Therefore, the value for common factors is 6006.
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 = 58087052075052/(1x6006)
LCM = 58087052075052/6006
LCM = 9671503842
Thus, we can understand that the LCM of 511,891,741,946,182 is 9671503842.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 511, 891, 741, 946, 182
1. What is the LCM of 511, 891, 741, 946, 182?
Answer: LCM of 511, 891, 741, 946, 182 is 9671503842.
2. How to calculate the LCM of 511, 891, 741, 946, 182?
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 511, 891, 741, 946, 182.
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}.