Find the LCM of 871, 377, 260, 811 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 871, 377, 260, 811. So, keep reading to learn more.
Given numbers are 871,377,260,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,377,260,811 is 409700980.
Find LCM of 871,377,260,811 with Prime Factorization
13 | 871, 377, 260, 811 |
67, 29, 20, 811 |
Multiply the prime numbers at the bottom and the left side.
13 x 67 x 29 x 20 x 811 = 409700980
Therefore, the lowest common multiple of 871,377,260,811 is 409700980.
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.
871 x 377 x 260 x 811 = 69239465620
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.
871 : 1, 13, 67, 871
377 : 1, 13, 29, 377
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,377,260,811, is 1.
Now, the common factors can be found like this.
871:13x 67
377:13x 29
260:2x 2x 5x 13
811:811
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 69239465620/(1x169)
LCM = 69239465620/169
LCM = 409700980
Thus, we can understand that the LCM of 871,377,260,811 is 409700980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 871, 377, 260, 811?
Answer: LCM of 871, 377, 260, 811 is 409700980.
2. How to calculate the LCM of 871, 377, 260, 811?
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 871, 377, 260, 811.
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}.