LCM of 837, 791, 110, 426, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 837, 791, 110, 426, 585 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 837, 791, 110, 426, 585. So, keep reading to learn more.
Given numbers are 837,791,110,426,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,791,110,426,585 is 67219662510.
Find LCM of 837,791,110,426,585 with Prime Factorization
| 2 | 837, 791, 110, 426, 585 |
| 3 | 837, 791, 55, 213, 585 |
| 3 | 279, 791, 55, 71, 195 |
| 5 | 93, 791, 55, 71, 65 |
| 93, 791, 11, 71, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 93 x 791 x 11 x 71 x 13 = 67219662510
Therefore, the lowest common multiple of 837,791,110,426,585 is 67219662510.
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.
837 x 791 x 110 x 426 x 585 = 18149308877700
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.
837 : 1, 3, 9, 27, 31, 93, 279, 837
791 : 1, 7, 113, 791
110 : 1, 2, 5, 10, 11, 22, 55, 110
426 : 1, 2, 3, 6, 71, 142, 213, 426
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 837,791,110,426,585, is 1.
Now, the common factors can be found like this.
837:3x 3x 3x 31
791:7x 113
110:2x 5x 11
426:2x 3x 71
585:3x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 18149308877700/(1x270)
LCM = 18149308877700/270
LCM = 67219662510
Thus, we can understand that the LCM of 837,791,110,426,585 is 67219662510.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 837, 791, 110, 426, 585
1. What is the LCM of 837, 791, 110, 426, 585?
Answer: LCM of 837, 791, 110, 426, 585 is 67219662510.
2. How to calculate the LCM of 837, 791, 110, 426, 585?
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 837, 791, 110, 426, 585.
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}.