Find the LCM of 523, 755, 944, 815 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 523, 755, 944, 815. So, keep reading to learn more.
Given numbers are 523,755,944,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,755,944,815 is 60758667280.
Find LCM of 523,755,944,815 with Prime Factorization
5 | 523, 755, 944, 815 |
523, 151, 944, 163 |
Multiply the prime numbers at the bottom and the left side.
5 x 523 x 151 x 944 x 163 = 60758667280
Therefore, the lowest common multiple of 523,755,944,815 is 60758667280.
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.
523 x 755 x 944 x 815 = 303793336400
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.
523 : 1, 523
755 : 1, 5, 151, 755
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,755,944,815, is 1.
Now, the common factors can be found like this.
523:523
755:5x 151
944:2x 2x 2x 2x 59
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 303793336400/(1x5)
LCM = 303793336400/5
LCM = 60758667280
Thus, we can understand that the LCM of 523,755,944,815 is 60758667280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 523, 755, 944, 815?
Answer: LCM of 523, 755, 944, 815 is 60758667280.
2. How to calculate the LCM of 523, 755, 944, 815?
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 523, 755, 944, 815.
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}.