Find the LCM of 230, 682, 755, 299, 986 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, 682, 755, 299, 986. So, keep reading to learn more.
Given numbers are 230,682,755,299,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,682,755,299,986 is 75901338370.
Find LCM of 230,682,755,299,986 with Prime Factorization
2 | 230, 682, 755, 299, 986 |
5 | 115, 341, 755, 299, 493 |
23 | 23, 341, 151, 299, 493 |
1, 341, 151, 13, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 1 x 341 x 151 x 13 x 493 = 75901338370
Therefore, the lowest common multiple of 230,682,755,299,986 is 75901338370.
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 682 x 755 x 299 x 986 = 34914615650200
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
682 : 1, 2, 11, 22, 31, 62, 341, 682
755 : 1, 5, 151, 755
299 : 1, 13, 23, 299
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,682,755,299,986, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
682:2x 11x 31
755:5x 151
299:13x 23
986:2x 17x 29
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 5x 23 = 460
Therefore, the value for common factors is 460.
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 = 34914615650200/(1x460)
LCM = 34914615650200/460
LCM = 75901338370
Thus, we can understand that the LCM of 230,682,755,299,986 is 75901338370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 230, 682, 755, 299, 986?
Answer: LCM of 230, 682, 755, 299, 986 is 75901338370.
2. How to calculate the LCM of 230, 682, 755, 299, 986?
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, 682, 755, 299, 986.
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}.