Find the LCM of 524, 548, 864, 839, 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 524, 548, 864, 839, 791. So, keep reading to learn more.
Given numbers are 524,548,864,839,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,548,864,839,791 is 10290679432992.
Find LCM of 524,548,864,839,791 with Prime Factorization
2 | 524, 548, 864, 839, 791 |
2 | 262, 274, 432, 839, 791 |
131, 137, 216, 839, 791 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 131 x 137 x 216 x 839 x 791 = 10290679432992
Therefore, the lowest common multiple of 524,548,864,839,791 is 10290679432992.
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.
524 x 548 x 864 x 839 x 791 = 164650870927872
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.
524 : 1, 2, 4, 131, 262, 524
548 : 1, 2, 4, 137, 274, 548
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
839 : 1, 839
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,548,864,839,791, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
548:2x 2x 137
864:2x 2x 2x 2x 2x 3x 3x 3
839:839
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.
2x 2x 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 164650870927872/(1x16)
LCM = 164650870927872/16
LCM = 10290679432992
Thus, we can understand that the LCM of 524,548,864,839,791 is 10290679432992.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 524, 548, 864, 839, 791?
Answer: LCM of 524, 548, 864, 839, 791 is 10290679432992.
2. How to calculate the LCM of 524, 548, 864, 839, 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 524, 548, 864, 839, 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}.