LCM of 917, 872, 872, 809, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 872, 872, 809, 876 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 917, 872, 872, 809, 876. So, keep reading to learn more.
Given numbers are 917,872,872,809,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,872,872,809,876 is 141670183704.
Find LCM of 917,872,872,809,876 with Prime Factorization
| 2 | 917, 872, 872, 809, 876 |
| 2 | 917, 436, 436, 809, 438 |
| 2 | 917, 218, 218, 809, 219 |
| 109 | 917, 109, 109, 809, 219 |
| 917, 1, 1, 809, 219 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 109 x 917 x 1 x 1 x 809 x 219 = 141670183704
Therefore, the lowest common multiple of 917,872,872,809,876 is 141670183704.
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.
917 x 872 x 872 x 809 x 876 = 494145600759552
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.
917 : 1, 7, 131, 917
872 : 1, 2, 4, 8, 109, 218, 436, 872
872 : 1, 2, 4, 8, 109, 218, 436, 872
809 : 1, 809
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,872,872,809,876, is 1.
Now, the common factors can be found like this.
917:7x 131
872:2x 2x 2x 109
872:2x 2x 2x 109
809:809
876:2x 2x 3x 73
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 109 = 3488
Therefore, the value for common factors is 3488.
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 = 494145600759552/(1x3488)
LCM = 494145600759552/3488
LCM = 141670183704
Thus, we can understand that the LCM of 917,872,872,809,876 is 141670183704.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 917, 872, 872, 809, 876
1. What is the LCM of 917, 872, 872, 809, 876?
Answer: LCM of 917, 872, 872, 809, 876 is 141670183704.
2. How to calculate the LCM of 917, 872, 872, 809, 876?
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 917, 872, 872, 809, 876.
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}.