Find the LCM of 416, 810, 176, 364, 719 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 416, 810, 176, 364, 719. So, keep reading to learn more.
Given numbers are 416,810,176,364,719
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,810,176,364,719 is 9327558240.
Find LCM of 416,810,176,364,719 with Prime Factorization
2 | 416, 810, 176, 364, 719 |
2 | 208, 405, 88, 182, 719 |
2 | 104, 405, 44, 91, 719 |
2 | 52, 405, 22, 91, 719 |
13 | 26, 405, 11, 91, 719 |
2, 405, 11, 7, 719 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 2 x 405 x 11 x 7 x 719 = 9327558240
Therefore, the lowest common multiple of 416,810,176,364,719 is 9327558240.
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.
416 x 810 x 176 x 364 x 719 = 15521056911360
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
719 : 1, 719
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,810,176,364,719, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
810:2x 3x 3x 3x 3x 5
176:2x 2x 2x 2x 11
364:2x 2x 7x 13
719:719
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 2x 2x 2x 2x 2x 13 = 1664
Therefore, the value for common factors is 1664.
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 = 15521056911360/(1x1664)
LCM = 15521056911360/1664
LCM = 9327558240
Thus, we can understand that the LCM of 416,810,176,364,719 is 9327558240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 810, 176, 364, 719?
Answer: LCM of 416, 810, 176, 364, 719 is 9327558240.
2. How to calculate the LCM of 416, 810, 176, 364, 719?
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 416, 810, 176, 364, 719.
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}.