Find the LCM of 509, 845, 117, 253, 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 509, 845, 117, 253, 791. So, keep reading to learn more.
Given numbers are 509,845,117,253,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,845,117,253,791 is 774665126235.
Find LCM of 509,845,117,253,791 with Prime Factorization
13 | 509, 845, 117, 253, 791 |
509, 65, 9, 253, 791 |
Multiply the prime numbers at the bottom and the left side.
13 x 509 x 65 x 9 x 253 x 791 = 774665126235
Therefore, the lowest common multiple of 509,845,117,253,791 is 774665126235.
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.
509 x 845 x 117 x 253 x 791 = 10070646641055
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.
509 : 1, 509
845 : 1, 5, 13, 65, 169, 845
117 : 1, 3, 9, 13, 39, 117
253 : 1, 11, 23, 253
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,845,117,253,791, is 1.
Now, the common factors can be found like this.
509:509
845:5x 13x 13
117:3x 3x 13
253:11x 23
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.
13 = 13
Therefore, the value for common factors is 13.
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 = 10070646641055/(1x13)
LCM = 10070646641055/13
LCM = 774665126235
Thus, we can understand that the LCM of 509,845,117,253,791 is 774665126235.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 509, 845, 117, 253, 791?
Answer: LCM of 509, 845, 117, 253, 791 is 774665126235.
2. How to calculate the LCM of 509, 845, 117, 253, 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 509, 845, 117, 253, 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}.