LCM of 113, 758, 255, 170, 843
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 758, 255, 170, 843 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 113, 758, 255, 170, 843. So, keep reading to learn more.
Given numbers are 113,758,255,170,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,758,255,170,843 is 6137537370.
Find LCM of 113,758,255,170,843 with Prime Factorization
| 2 | 113, 758, 255, 170, 843 |
| 3 | 113, 379, 255, 85, 843 |
| 5 | 113, 379, 85, 85, 281 |
| 17 | 113, 379, 17, 17, 281 |
| 113, 379, 1, 1, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 113 x 379 x 1 x 1 x 281 = 6137537370
Therefore, the lowest common multiple of 113,758,255,170,843 is 6137537370.
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.
113 x 758 x 255 x 170 x 843 = 3130144058700
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.
113 : 1, 113
758 : 1, 2, 379, 758
255 : 1, 3, 5, 15, 17, 51, 85, 255
170 : 1, 2, 5, 10, 17, 34, 85, 170
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,758,255,170,843, is 1.
Now, the common factors can be found like this.
113:113
758:2x 379
255:3x 5x 17
170:2x 5x 17
843:3x 281
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 5x 17 = 510
Therefore, the value for common factors is 510.
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 = 3130144058700/(1x510)
LCM = 3130144058700/510
LCM = 6137537370
Thus, we can understand that the LCM of 113,758,255,170,843 is 6137537370.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 113, 758, 255, 170, 843
1. What is the LCM of 113, 758, 255, 170, 843?
Answer: LCM of 113, 758, 255, 170, 843 is 6137537370.
2. How to calculate the LCM of 113, 758, 255, 170, 843?
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 113, 758, 255, 170, 843.
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}.