Find the LCM of 814, 214, 396, 747, 830 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 814, 214, 396, 747, 830. So, keep reading to learn more.
Given numbers are 814,214,396,747,830
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,214,396,747,830 is 650622060.
Find LCM of 814,214,396,747,830 with Prime Factorization
2 | 814, 214, 396, 747, 830 |
3 | 407, 107, 198, 747, 415 |
3 | 407, 107, 66, 249, 415 |
11 | 407, 107, 22, 83, 415 |
83 | 37, 107, 2, 83, 415 |
37, 107, 2, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 83 x 37 x 107 x 2 x 1 x 5 = 650622060
Therefore, the lowest common multiple of 814,214,396,747,830 is 650622060.
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.
814 x 214 x 396 x 747 x 830 = 42769291736160
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
214 : 1, 2, 107, 214
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
747 : 1, 3, 9, 83, 249, 747
830 : 1, 2, 5, 10, 83, 166, 415, 830
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,214,396,747,830, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
214:2x 107
396:2x 2x 3x 3x 11
747:3x 3x 83
830:2x 5x 83
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 3x 3x 11x 83 = 65736
Therefore, the value for common factors is 65736.
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 = 42769291736160/(1x65736)
LCM = 42769291736160/65736
LCM = 650622060
Thus, we can understand that the LCM of 814,214,396,747,830 is 650622060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 214, 396, 747, 830?
Answer: LCM of 814, 214, 396, 747, 830 is 650622060.
2. How to calculate the LCM of 814, 214, 396, 747, 830?
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 814, 214, 396, 747, 830.
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}.