Find the LCM of 522, 464, 167, 797, 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 522, 464, 167, 797, 878. So, keep reading to learn more.
Given numbers are 522,464,167,797,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 522,464,167,797,878 is 244005605136.
Find LCM of 522,464,167,797,878 with Prime Factorization
2 | 522, 464, 167, 797, 878 |
29 | 261, 232, 167, 797, 439 |
9, 8, 167, 797, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 9 x 8 x 167 x 797 x 439 = 244005605136
Therefore, the lowest common multiple of 522,464,167,797,878 is 244005605136.
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.
522 x 464 x 167 x 797 x 878 = 28304650195776
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.
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
167 : 1, 167
797 : 1, 797
878 : 1, 2, 439, 878
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,464,167,797,878, is 1.
Now, the common factors can be found like this.
522:2x 3x 3x 29
464:2x 2x 2x 2x 29
167:167
797:797
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.
2x 2x 29 = 116
Therefore, the value for common factors is 116.
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 = 28304650195776/(1x116)
LCM = 28304650195776/116
LCM = 244005605136
Thus, we can understand that the LCM of 522,464,167,797,878 is 244005605136.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 522, 464, 167, 797, 878?
Answer: LCM of 522, 464, 167, 797, 878 is 244005605136.
2. How to calculate the LCM of 522, 464, 167, 797, 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 522, 464, 167, 797, 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}.