Find the LCM of 230, 683, 668, 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 230, 683, 668, 850. So, keep reading to learn more.
Given numbers are 230,683,668,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,683,668,850 is 4459785100.
Find LCM of 230,683,668,850 with Prime Factorization
2 | 230, 683, 668, 850 |
5 | 115, 683, 334, 425 |
23, 683, 334, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 683 x 334 x 85 = 4459785100
Therefore, the lowest common multiple of 230,683,668,850 is 4459785100.
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.
230 x 683 x 668 x 850 = 89195702000
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
683 : 1, 683
668 : 1, 2, 4, 167, 334, 668
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 230,683,668,850, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
683:683
668:2x 2x 167
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 2x 5 = 20
Therefore, the value for common factors is 20.
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 = 89195702000/(1x20)
LCM = 89195702000/20
LCM = 4459785100
Thus, we can understand that the LCM of 230,683,668,850 is 4459785100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 230, 683, 668, 850?
Answer: LCM of 230, 683, 668, 850 is 4459785100.
2. How to calculate the LCM of 230, 683, 668, 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 230, 683, 668, 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}.