Find the LCM of 428, 517, 823, 187 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 428, 517, 823, 187. So, keep reading to learn more.
Given numbers are 428,517,823,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,517,823,187 is 3095872516.
Find LCM of 428,517,823,187 with Prime Factorization
11 | 428, 517, 823, 187 |
428, 47, 823, 17 |
Multiply the prime numbers at the bottom and the left side.
11 x 428 x 47 x 823 x 17 = 3095872516
Therefore, the lowest common multiple of 428,517,823,187 is 3095872516.
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.
428 x 517 x 823 x 187 = 34054597676
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.
428 : 1, 2, 4, 107, 214, 428
517 : 1, 11, 47, 517
823 : 1, 823
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,517,823,187, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
517:11x 47
823:823
187:11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 34054597676/(1x11)
LCM = 34054597676/11
LCM = 3095872516
Thus, we can understand that the LCM of 428,517,823,187 is 3095872516.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 428, 517, 823, 187?
Answer: LCM of 428, 517, 823, 187 is 3095872516.
2. How to calculate the LCM of 428, 517, 823, 187?
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 428, 517, 823, 187.
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}.