LCM of 818, 390, 939, 830, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 818, 390, 939, 830, 913 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 818, 390, 939, 830, 913. So, keep reading to learn more.
Given numbers are 818,390,939,830,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,390,939,830,913 is 45583013190.
Find LCM of 818,390,939,830,913 with Prime Factorization
| 2 | 818, 390, 939, 830, 913 |
| 3 | 409, 195, 939, 415, 913 |
| 5 | 409, 65, 313, 415, 913 |
| 83 | 409, 13, 313, 83, 913 |
| 409, 13, 313, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 83 x 409 x 13 x 313 x 1 x 11 = 45583013190
Therefore, the lowest common multiple of 818,390,939,830,913 is 45583013190.
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.
818 x 390 x 939 x 830 x 913 = 227003405686200
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.
818 : 1, 2, 409, 818
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
939 : 1, 3, 313, 939
830 : 1, 2, 5, 10, 83, 166, 415, 830
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,390,939,830,913, is 1.
Now, the common factors can be found like this.
818:2x 409
390:2x 3x 5x 13
939:3x 313
830:2x 5x 83
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 83 = 4980
Therefore, the value for common factors is 4980.
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 = 227003405686200/(1x4980)
LCM = 227003405686200/4980
LCM = 45583013190
Thus, we can understand that the LCM of 818,390,939,830,913 is 45583013190.
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FAQs on LCM of 818, 390, 939, 830, 913
1. What is the LCM of 818, 390, 939, 830, 913?
Answer: LCM of 818, 390, 939, 830, 913 is 45583013190.
2. How to calculate the LCM of 818, 390, 939, 830, 913?
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 818, 390, 939, 830, 913.
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}.