Find the LCM of 104, 347, 180, 810, 320 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 104, 347, 180, 810, 320. So, keep reading to learn more.
Given numbers are 104,347,180,810,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,347,180,810,320 is 116925120.
Find LCM of 104,347,180,810,320 with Prime Factorization
2 | 104, 347, 180, 810, 320 |
2 | 52, 347, 90, 405, 160 |
2 | 26, 347, 45, 405, 80 |
3 | 13, 347, 45, 405, 40 |
3 | 13, 347, 15, 135, 40 |
5 | 13, 347, 5, 45, 40 |
13, 347, 1, 9, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 13 x 347 x 1 x 9 x 8 = 116925120
Therefore, the lowest common multiple of 104,347,180,810,320 is 116925120.
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.
104 x 347 x 180 x 810 x 320 = 1683721728000
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
347 : 1, 347
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,347,180,810,320, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
347:347
180:2x 2x 3x 3x 5
810:2x 3x 3x 3x 3x 5
320:2x 2x 2x 2x 2x 2x 5
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 3x 3x 5x 5 = 14400
Therefore, the value for common factors is 14400.
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 = 1683721728000/(1x14400)
LCM = 1683721728000/14400
LCM = 116925120
Thus, we can understand that the LCM of 104,347,180,810,320 is 116925120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 104, 347, 180, 810, 320?
Answer: LCM of 104, 347, 180, 810, 320 is 116925120.
2. How to calculate the LCM of 104, 347, 180, 810, 320?
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 104, 347, 180, 810, 320.
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}.