Find the LCM of 391, 880, 935, 850 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 391, 880, 935, 850. So, keep reading to learn more.
Given numbers are 391,880,935,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,880,935,850 is 1720400.
Find LCM of 391,880,935,850 with Prime Factorization
2 | 391, 880, 935, 850 |
5 | 391, 440, 935, 425 |
11 | 391, 88, 187, 85 |
17 | 391, 8, 17, 85 |
23, 8, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 23 x 8 x 1 x 5 = 1720400
Therefore, the lowest common multiple of 391,880,935,850 is 1720400.
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.
391 x 880 x 935 x 850 = 273457580000
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.
391 : 1, 17, 23, 391
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
935 : 1, 5, 11, 17, 55, 85, 187, 935
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,880,935,850, is 1.
Now, the common factors can be found like this.
391:17x 23
880:2x 2x 2x 2x 5x 11
935:5x 11x 17
850:2x 5x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 11x 17x 17 = 158950
Therefore, the value for common factors is 158950.
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 = 273457580000/(1x158950)
LCM = 273457580000/158950
LCM = 1720400
Thus, we can understand that the LCM of 391,880,935,850 is 1720400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 391, 880, 935, 850?
Answer: LCM of 391, 880, 935, 850 is 1720400.
2. How to calculate the LCM of 391, 880, 935, 850?
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 391, 880, 935, 850.
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}.