Find the LCM of 509, 818, 403, 819, 311 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, 818, 403, 819, 311. So, keep reading to learn more.
Given numbers are 509,818,403,819,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,818,403,819,311 is 3287585608398.
Find LCM of 509,818,403,819,311 with Prime Factorization
13 | 509, 818, 403, 819, 311 |
509, 818, 31, 63, 311 |
Multiply the prime numbers at the bottom and the left side.
13 x 509 x 818 x 31 x 63 x 311 = 3287585608398
Therefore, the lowest common multiple of 509,818,403,819,311 is 3287585608398.
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 818 x 403 x 819 x 311 = 42738612909174
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
818 : 1, 2, 409, 818
403 : 1, 13, 31, 403
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,818,403,819,311, is 1.
Now, the common factors can be found like this.
509:509
818:2x 409
403:13x 31
819:3x 3x 7x 13
311:311
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 = 42738612909174/(1x13)
LCM = 42738612909174/13
LCM = 3287585608398
Thus, we can understand that the LCM of 509,818,403,819,311 is 3287585608398.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 509, 818, 403, 819, 311?
Answer: LCM of 509, 818, 403, 819, 311 is 3287585608398.
2. How to calculate the LCM of 509, 818, 403, 819, 311?
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, 818, 403, 819, 311.
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}.