Find the LCM of 585, 825, 113, 950, 791 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 585, 825, 113, 950, 791. So, keep reading to learn more.
Given numbers are 585,825,113,950,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,825,113,950,791 is 967116150.
Find LCM of 585,825,113,950,791 with Prime Factorization
3 | 585, 825, 113, 950, 791 |
5 | 195, 275, 113, 950, 791 |
5 | 39, 55, 113, 190, 791 |
113 | 39, 11, 113, 38, 791 |
39, 11, 1, 38, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 113 x 39 x 11 x 1 x 38 x 7 = 967116150
Therefore, the lowest common multiple of 585,825,113,950,791 is 967116150.
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.
585 x 825 x 113 x 950 x 791 = 40981546856250
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
113 : 1, 113
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,825,113,950,791, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
825:3x 5x 5x 11
113:113
950:2x 5x 5x 19
791:7x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5x 113 = 42375
Therefore, the value for common factors is 42375.
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 = 40981546856250/(1x42375)
LCM = 40981546856250/42375
LCM = 967116150
Thus, we can understand that the LCM of 585,825,113,950,791 is 967116150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 585, 825, 113, 950, 791?
Answer: LCM of 585, 825, 113, 950, 791 is 967116150.
2. How to calculate the LCM of 585, 825, 113, 950, 791?
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 585, 825, 113, 950, 791.
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}.