LCM of 854, 382, 930, 793, 595
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 382, 930, 793, 595 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 854, 382, 930, 793, 595. So, keep reading to learn more.
Given numbers are 854,382,930,793,595
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,382,930,793,595 is 16762410210.
Find LCM of 854,382,930,793,595 with Prime Factorization
| 2 | 854, 382, 930, 793, 595 |
| 5 | 427, 191, 465, 793, 595 |
| 7 | 427, 191, 93, 793, 119 |
| 61 | 61, 191, 93, 793, 17 |
| 1, 191, 93, 13, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 61 x 1 x 191 x 93 x 13 x 17 = 16762410210
Therefore, the lowest common multiple of 854,382,930,793,595 is 16762410210.
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.
854 x 382 x 930 x 793 x 595 = 143150983193400
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
382 : 1, 2, 191, 382
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
793 : 1, 13, 61, 793
595 : 1, 5, 7, 17, 35, 85, 119, 595
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,382,930,793,595, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
382:2x 191
930:2x 3x 5x 31
793:13x 61
595:5x 7x 17
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 5x 7x 61 = 8540
Therefore, the value for common factors is 8540.
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 = 143150983193400/(1x8540)
LCM = 143150983193400/8540
LCM = 16762410210
Thus, we can understand that the LCM of 854,382,930,793,595 is 16762410210.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 854, 382, 930, 793, 595
1. What is the LCM of 854, 382, 930, 793, 595?
Answer: LCM of 854, 382, 930, 793, 595 is 16762410210.
2. How to calculate the LCM of 854, 382, 930, 793, 595?
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 854, 382, 930, 793, 595.
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}.