Find the LCM of 538, 871, 213, 403 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 538, 871, 213, 403. So, keep reading to learn more.
Given numbers are 538,871,213,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,871,213,403 is 3094152594.
Find LCM of 538,871,213,403 with Prime Factorization
13 | 538, 871, 213, 403 |
538, 67, 213, 31 |
Multiply the prime numbers at the bottom and the left side.
13 x 538 x 67 x 213 x 31 = 3094152594
Therefore, the lowest common multiple of 538,871,213,403 is 3094152594.
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.
538 x 871 x 213 x 403 = 40223983722
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.
538 : 1, 2, 269, 538
871 : 1, 13, 67, 871
213 : 1, 3, 71, 213
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,871,213,403, is 1.
Now, the common factors can be found like this.
538:2x 269
871:13x 67
213:3x 71
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 40223983722/(1x13)
LCM = 40223983722/13
LCM = 3094152594
Thus, we can understand that the LCM of 538,871,213,403 is 3094152594.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 538, 871, 213, 403?
Answer: LCM of 538, 871, 213, 403 is 3094152594.
2. How to calculate the LCM of 538, 871, 213, 403?
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 538, 871, 213, 403.
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}.