Find the LCM of 861, 943, 725, 899 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 861, 943, 725, 899. So, keep reading to learn more.
Given numbers are 861,943,725,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,943,725,899 is 445072425.
Find LCM of 861,943,725,899 with Prime Factorization
29 | 861, 943, 725, 899 |
41 | 861, 943, 25, 31 |
21, 23, 25, 31 |
Multiply the prime numbers at the bottom and the left side.
29 x 41 x 21 x 23 x 25 x 31 = 445072425
Therefore, the lowest common multiple of 861,943,725,899 is 445072425.
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.
861 x 943 x 725 x 899 = 529191113325
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
943 : 1, 23, 41, 943
725 : 1, 5, 25, 29, 145, 725
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,943,725,899, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
943:23x 41
725:5x 5x 29
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29x 41 = 1189
Therefore, the value for common factors is 1189.
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 = 529191113325/(1x1189)
LCM = 529191113325/1189
LCM = 445072425
Thus, we can understand that the LCM of 861,943,725,899 is 445072425.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 861, 943, 725, 899?
Answer: LCM of 861, 943, 725, 899 is 445072425.
2. How to calculate the LCM of 861, 943, 725, 899?
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 861, 943, 725, 899.
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}.