Find the LCM of 319, 799, 517, 479, 696 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 319, 799, 517, 479, 696. So, keep reading to learn more.
Given numbers are 319,799,517,479,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,799,517,479,696 is 2930111976.
Find LCM of 319,799,517,479,696 with Prime Factorization
11 | 319, 799, 517, 479, 696 |
29 | 29, 799, 47, 479, 696 |
47 | 1, 799, 47, 479, 24 |
1, 17, 1, 479, 24 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 47 x 1 x 17 x 1 x 479 x 24 = 2930111976
Therefore, the lowest common multiple of 319,799,517,479,696 is 2930111976.
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.
319 x 799 x 517 x 479 x 696 = 43931168856168
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.
319 : 1, 11, 29, 319
799 : 1, 17, 47, 799
517 : 1, 11, 47, 517
479 : 1, 479
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,799,517,479,696, is 1.
Now, the common factors can be found like this.
319:11x 29
799:17x 47
517:11x 47
479:479
696:2x 2x 2x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 29x 47 = 14993
Therefore, the value for common factors is 14993.
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 = 43931168856168/(1x14993)
LCM = 43931168856168/14993
LCM = 2930111976
Thus, we can understand that the LCM of 319,799,517,479,696 is 2930111976.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 799, 517, 479, 696?
Answer: LCM of 319, 799, 517, 479, 696 is 2930111976.
2. How to calculate the LCM of 319, 799, 517, 479, 696?
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 319, 799, 517, 479, 696.
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}.