Find the LCM of 211, 871, 312, 791 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 211, 871, 312, 791. So, keep reading to learn more.
Given numbers are 211,871,312,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,871,312,791 is 3488898504.
Find LCM of 211,871,312,791 with Prime Factorization
13 | 211, 871, 312, 791 |
211, 67, 24, 791 |
Multiply the prime numbers at the bottom and the left side.
13 x 211 x 67 x 24 x 791 = 3488898504
Therefore, the lowest common multiple of 211,871,312,791 is 3488898504.
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.
211 x 871 x 312 x 791 = 45355680552
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.
211 : 1, 211
871 : 1, 13, 67, 871
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,871,312,791, is 1.
Now, the common factors can be found like this.
211:211
871:13x 67
312:2x 2x 2x 3x 13
791:7x 113
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 = 45355680552/(1x13)
LCM = 45355680552/13
LCM = 3488898504
Thus, we can understand that the LCM of 211,871,312,791 is 3488898504.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 211, 871, 312, 791?
Answer: LCM of 211, 871, 312, 791 is 3488898504.
2. How to calculate the LCM of 211, 871, 312, 791?
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 211, 871, 312, 791.
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}.