Find the LCM of 857, 793, 858, 595, 493 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 857, 793, 858, 595, 493. So, keep reading to learn more.
Given numbers are 857,793,858,595,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 857,793,858,595,493 is 773950006830.
Find LCM of 857,793,858,595,493 with Prime Factorization
13 | 857, 793, 858, 595, 493 |
17 | 857, 61, 66, 595, 493 |
857, 61, 66, 35, 29 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 857 x 61 x 66 x 35 x 29 = 773950006830
Therefore, the lowest common multiple of 857,793,858,595,493 is 773950006830.
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.
857 x 793 x 858 x 595 x 493 = 171042951509430
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.
857 : 1, 857
793 : 1, 13, 61, 793
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
595 : 1, 5, 7, 17, 35, 85, 119, 595
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,793,858,595,493, is 1.
Now, the common factors can be found like this.
857:857
793:13x 61
858:2x 3x 11x 13
595:5x 7x 17
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 171042951509430/(1x221)
LCM = 171042951509430/221
LCM = 773950006830
Thus, we can understand that the LCM of 857,793,858,595,493 is 773950006830.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 857, 793, 858, 595, 493?
Answer: LCM of 857, 793, 858, 595, 493 is 773950006830.
2. How to calculate the LCM of 857, 793, 858, 595, 493?
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 857, 793, 858, 595, 493.
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}.