Find the LCM of 509, 451, 869, 878 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 509, 451, 869, 878. So, keep reading to learn more.
Given numbers are 509,451,869,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 509,451,869,878 is 15922671358.
Find LCM of 509,451,869,878 with Prime Factorization
11 | 509, 451, 869, 878 |
509, 41, 79, 878 |
Multiply the prime numbers at the bottom and the left side.
11 x 509 x 41 x 79 x 878 = 15922671358
Therefore, the lowest common multiple of 509,451,869,878 is 15922671358.
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.
509 x 451 x 869 x 878 = 175149384938
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.
509 : 1, 509
451 : 1, 11, 41, 451
869 : 1, 11, 79, 869
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,451,869,878, is 1.
Now, the common factors can be found like this.
509:509
451:11x 41
869:11x 79
878:2x 439
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 = 175149384938/(1x11)
LCM = 175149384938/11
LCM = 15922671358
Thus, we can understand that the LCM of 509,451,869,878 is 15922671358.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 509, 451, 869, 878?
Answer: LCM of 509, 451, 869, 878 is 15922671358.
2. How to calculate the LCM of 509, 451, 869, 878?
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 509, 451, 869, 878.
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}.