Find the LCM of 866, 946, 731, 825 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 866, 946, 731, 825. So, keep reading to learn more.
Given numbers are 866,946,731,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,946,731,825 is 522262950.
Find LCM of 866,946,731,825 with Prime Factorization
2 | 866, 946, 731, 825 |
11 | 433, 473, 731, 825 |
43 | 433, 43, 731, 75 |
433, 1, 17, 75 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 43 x 433 x 1 x 17 x 75 = 522262950
Therefore, the lowest common multiple of 866,946,731,825 is 522262950.
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.
866 x 946 x 731 x 825 = 494060750700
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.
866 : 1, 2, 433, 866
946 : 1, 2, 11, 22, 43, 86, 473, 946
731 : 1, 17, 43, 731
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,946,731,825, is 1.
Now, the common factors can be found like this.
866:2x 433
946:2x 11x 43
731:17x 43
825:3x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 43 = 946
Therefore, the value for common factors is 946.
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 = 494060750700/(1x946)
LCM = 494060750700/946
LCM = 522262950
Thus, we can understand that the LCM of 866,946,731,825 is 522262950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 866, 946, 731, 825?
Answer: LCM of 866, 946, 731, 825 is 522262950.
2. How to calculate the LCM of 866, 946, 731, 825?
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 866, 946, 731, 825.
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}.