Find the LCM of 856, 485, 935, 660, 582 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 856, 485, 935, 660, 582. So, keep reading to learn more.
Given numbers are 856,485,935,660,582
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,485,935,660,582 is 232904760.
Find LCM of 856,485,935,660,582 with Prime Factorization
2 | 856, 485, 935, 660, 582 |
2 | 428, 485, 935, 330, 291 |
3 | 214, 485, 935, 165, 291 |
5 | 214, 485, 935, 55, 97 |
11 | 214, 97, 187, 11, 97 |
97 | 214, 97, 17, 1, 97 |
214, 1, 17, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 97 x 214 x 1 x 17 x 1 x 1 = 232904760
Therefore, the lowest common multiple of 856,485,935,660,582 is 232904760.
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.
856 x 485 x 935 x 660 x 582 = 149105627352000
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
485 : 1, 5, 97, 485
935 : 1, 5, 11, 17, 55, 85, 187, 935
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
582 : 1, 2, 3, 6, 97, 194, 291, 582
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,485,935,660,582, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
485:5x 97
935:5x 11x 17
660:2x 2x 3x 5x 11
582:2x 3x 97
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 5x 5x 11x 97 = 640200
Therefore, the value for common factors is 640200.
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 = 149105627352000/(1x640200)
LCM = 149105627352000/640200
LCM = 232904760
Thus, we can understand that the LCM of 856,485,935,660,582 is 232904760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 856, 485, 935, 660, 582?
Answer: LCM of 856, 485, 935, 660, 582 is 232904760.
2. How to calculate the LCM of 856, 485, 935, 660, 582?
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 856, 485, 935, 660, 582.
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}.