LCM of 514, 413, 939, 338, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 413, 939, 338, 583 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 514, 413, 939, 338, 583. So, keep reading to learn more.
Given numbers are 514,413,939,338,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,413,939,338,583 is 19639662588546.
Find LCM of 514,413,939,338,583 with Prime Factorization
| 2 | 514, 413, 939, 338, 583 |
| 257, 413, 939, 169, 583 |
Multiply the prime numbers at the bottom and the left side.
2 x 257 x 413 x 939 x 169 x 583 = 19639662588546
Therefore, the lowest common multiple of 514,413,939,338,583 is 19639662588546.
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.
514 x 413 x 939 x 338 x 583 = 39279325177092
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.
514 : 1, 2, 257, 514
413 : 1, 7, 59, 413
939 : 1, 3, 313, 939
338 : 1, 2, 13, 26, 169, 338
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,413,939,338,583, is 1.
Now, the common factors can be found like this.
514:2x 257
413:7x 59
939:3x 313
338:2x 13x 13
583:11x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 39279325177092/(1x2)
LCM = 39279325177092/2
LCM = 19639662588546
Thus, we can understand that the LCM of 514,413,939,338,583 is 19639662588546.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 514, 413, 939, 338, 583
1. What is the LCM of 514, 413, 939, 338, 583?
Answer: LCM of 514, 413, 939, 338, 583 is 19639662588546.
2. How to calculate the LCM of 514, 413, 939, 338, 583?
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 514, 413, 939, 338, 583.
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}.