Find the LCM of 775, 871, 807, 949 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 775, 871, 807, 949. So, keep reading to learn more.
Given numbers are 775,871,807,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,871,807,949 is 39766397775.
Find LCM of 775,871,807,949 with Prime Factorization
13 | 775, 871, 807, 949 |
775, 67, 807, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 775 x 67 x 807 x 73 = 39766397775
Therefore, the lowest common multiple of 775,871,807,949 is 39766397775.
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.
775 x 871 x 807 x 949 = 516963171075
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.
775 : 1, 5, 25, 31, 155, 775
871 : 1, 13, 67, 871
807 : 1, 3, 269, 807
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,871,807,949, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
871:13x 67
807:3x 269
949:13x 73
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 = 516963171075/(1x13)
LCM = 516963171075/13
LCM = 39766397775
Thus, we can understand that the LCM of 775,871,807,949 is 39766397775.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 775, 871, 807, 949?
Answer: LCM of 775, 871, 807, 949 is 39766397775.
2. How to calculate the LCM of 775, 871, 807, 949?
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 775, 871, 807, 949.
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}.