Find the LCM of 328, 114, 404, 930, 210 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 328, 114, 404, 930, 210. So, keep reading to learn more.
Given numbers are 328,114,404,930,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,114,404,930,210 is 2048801160.
Find LCM of 328,114,404,930,210 with Prime Factorization
2 | 328, 114, 404, 930, 210 |
2 | 164, 57, 202, 465, 105 |
3 | 82, 57, 101, 465, 105 |
5 | 82, 19, 101, 155, 35 |
82, 19, 101, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 82 x 19 x 101 x 31 x 7 = 2048801160
Therefore, the lowest common multiple of 328,114,404,930,210 is 2048801160.
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.
328 x 114 x 404 x 930 x 210 = 2950273670400
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
114 : 1, 2, 3, 6, 19, 38, 57, 114
404 : 1, 2, 4, 101, 202, 404
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,114,404,930,210, is 2.
Now, the common factors can be found like this.
328:2x 2x 2x 41
114:2x 3x 19
404:2x 2x 101
930:2x 3x 5x 31
210:2x 3x 5x 7
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 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 2950273670400/(2x720)
LCM = 2950273670400/1440
LCM = 2048801160
Thus, we can understand that the LCM of 328,114,404,930,210 is 2048801160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 114, 404, 930, 210?
Answer: LCM of 328, 114, 404, 930, 210 is 2048801160.
2. How to calculate the LCM of 328, 114, 404, 930, 210?
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 328, 114, 404, 930, 210.
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}.