LCM of 869, 871, 114, 792, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 871, 114, 792, 446 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 869, 871, 114, 792, 446. So, keep reading to learn more.
Given numbers are 869,871,114,792,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,871,114,792,446 is 230902636536.
Find LCM of 869,871,114,792,446 with Prime Factorization
| 2 | 869, 871, 114, 792, 446 |
| 3 | 869, 871, 57, 396, 223 |
| 11 | 869, 871, 19, 132, 223 |
| 79, 871, 19, 12, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 79 x 871 x 19 x 12 x 223 = 230902636536
Therefore, the lowest common multiple of 869,871,114,792,446 is 230902636536.
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.
869 x 871 x 114 x 792 x 446 = 30479148022752
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.
869 : 1, 11, 79, 869
871 : 1, 13, 67, 871
114 : 1, 2, 3, 6, 19, 38, 57, 114
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,871,114,792,446, is 1.
Now, the common factors can be found like this.
869:11x 79
871:13x 67
114:2x 3x 19
792:2x 2x 2x 3x 3x 11
446:2x 223
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 30479148022752/(1x132)
LCM = 30479148022752/132
LCM = 230902636536
Thus, we can understand that the LCM of 869,871,114,792,446 is 230902636536.
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FAQs on LCM of 869, 871, 114, 792, 446
1. What is the LCM of 869, 871, 114, 792, 446?
Answer: LCM of 869, 871, 114, 792, 446 is 230902636536.
2. How to calculate the LCM of 869, 871, 114, 792, 446?
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 869, 871, 114, 792, 446.
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}.