LCM of 508, 438, 219, 827
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 438, 219, 827 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 508, 438, 219, 827. So, keep reading to learn more.
Given numbers are 508,438,219,827
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,438,219,827 is 92005404.
Find LCM of 508,438,219,827 with Prime Factorization
| 2 | 508, 438, 219, 827 |
| 3 | 254, 219, 219, 827 |
| 73 | 254, 73, 73, 827 |
| 254, 1, 1, 827 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 73 x 254 x 1 x 1 x 827 = 92005404
Therefore, the lowest common multiple of 508,438,219,827 is 92005404.
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.
508 x 438 x 219 x 827 = 40298366952
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.
508 : 1, 2, 4, 127, 254, 508
438 : 1, 2, 3, 6, 73, 146, 219, 438
219 : 1, 3, 73, 219
827 : 1, 827
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,438,219,827, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
438:2x 3x 73
219:3x 73
827:827
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 73 = 438
Therefore, the value for common factors is 438.
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 = 40298366952/(1x438)
LCM = 40298366952/438
LCM = 92005404
Thus, we can understand that the LCM of 508,438,219,827 is 92005404.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 508, 438, 219, 827
1. What is the LCM of 508, 438, 219, 827?
Answer: LCM of 508, 438, 219, 827 is 92005404.
2. How to calculate the LCM of 508, 438, 219, 827?
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 508, 438, 219, 827.
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}.