LCM of 539, 791, 945, 567, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 791, 945, 567, 131 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 539, 791, 945, 567, 131. So, keep reading to learn more.
Given numbers are 539,791,945,567,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,791,945,567,131 is 3231420885.
Find LCM of 539,791,945,567,131 with Prime Factorization
| 3 | 539, 791, 945, 567, 131 |
| 3 | 539, 791, 315, 189, 131 |
| 3 | 539, 791, 105, 63, 131 |
| 7 | 539, 791, 35, 21, 131 |
| 77, 113, 5, 3, 131 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 7 x 77 x 113 x 5 x 3 x 131 = 3231420885
Therefore, the lowest common multiple of 539,791,945,567,131 is 3231420885.
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.
539 x 791 x 945 x 567 x 131 = 29926188815985
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.
539 : 1, 7, 11, 49, 77, 539
791 : 1, 7, 113, 791
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,791,945,567,131, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
791:7x 113
945:3x 3x 3x 5x 7
567:3x 3x 3x 3x 7
131:131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 7x 7 = 9261
Therefore, the value for common factors is 9261.
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 = 29926188815985/(1x9261)
LCM = 29926188815985/9261
LCM = 3231420885
Thus, we can understand that the LCM of 539,791,945,567,131 is 3231420885.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 539, 791, 945, 567, 131
1. What is the LCM of 539, 791, 945, 567, 131?
Answer: LCM of 539, 791, 945, 567, 131 is 3231420885.
2. How to calculate the LCM of 539, 791, 945, 567, 131?
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 539, 791, 945, 567, 131.
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}.