Find the LCM of 986, 946, 731, 233 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 986, 946, 731, 233. So, keep reading to learn more.
Given numbers are 986,946,731,233
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,946,731,233 is 108666074.
Find LCM of 986,946,731,233 with Prime Factorization
2 | 986, 946, 731, 233 |
17 | 493, 473, 731, 233 |
43 | 29, 473, 43, 233 |
29, 11, 1, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 43 x 29 x 11 x 1 x 233 = 108666074
Therefore, the lowest common multiple of 986,946,731,233 is 108666074.
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.
986 x 946 x 731 x 233 = 158869800188
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
946 : 1, 2, 11, 22, 43, 86, 473, 946
731 : 1, 17, 43, 731
233 : 1, 233
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,946,731,233, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
946:2x 11x 43
731:17x 43
233:233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 43 = 1462
Therefore, the value for common factors is 1462.
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 = 158869800188/(1x1462)
LCM = 158869800188/1462
LCM = 108666074
Thus, we can understand that the LCM of 986,946,731,233 is 108666074.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 946, 731, 233?
Answer: LCM of 986, 946, 731, 233 is 108666074.
2. How to calculate the LCM of 986, 946, 731, 233?
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 986, 946, 731, 233.
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}.