Find the LCM of 779, 319, 361, 405, 405 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 779, 319, 361, 405, 405. So, keep reading to learn more.
Given numbers are 779,319,361,405,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,319,361,405,405 is 1912215195.
Find LCM of 779,319,361,405,405 with Prime Factorization
3 | 779, 319, 361, 405, 405 |
3 | 779, 319, 361, 135, 135 |
3 | 779, 319, 361, 45, 45 |
3 | 779, 319, 361, 15, 15 |
5 | 779, 319, 361, 5, 5 |
19 | 779, 319, 361, 1, 1 |
41, 319, 19, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 3 x 5 x 19 x 41 x 319 x 19 x 1 x 1 = 1912215195
Therefore, the lowest common multiple of 779,319,361,405,405 is 1912215195.
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.
779 x 319 x 361 x 405 x 405 = 14714495925525
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.
779 : 1, 19, 41, 779
319 : 1, 11, 29, 319
361 : 1, 19, 361
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,319,361,405,405, is 1.
Now, the common factors can be found like this.
779:19x 41
319:11x 29
361:19x 19
405:3x 3x 3x 3x 5
405:3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5x 19 = 7695
Therefore, the value for common factors is 7695.
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 = 14714495925525/(1x7695)
LCM = 14714495925525/7695
LCM = 1912215195
Thus, we can understand that the LCM of 779,319,361,405,405 is 1912215195.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 779, 319, 361, 405, 405?
Answer: LCM of 779, 319, 361, 405, 405 is 1912215195.
2. How to calculate the LCM of 779, 319, 361, 405, 405?
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 779, 319, 361, 405, 405.
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}.