Find the LCM of 481, 235, 235, 816 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 481, 235, 235, 816. So, keep reading to learn more.
Given numbers are 481,235,235,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,235,235,816 is 92236560.
Find LCM of 481,235,235,816 with Prime Factorization
5 | 481, 235, 235, 816 |
47 | 481, 47, 47, 816 |
481, 1, 1, 816 |
Multiply the prime numbers at the bottom and the left side.
5 x 47 x 481 x 1 x 1 x 816 = 92236560
Therefore, the lowest common multiple of 481,235,235,816 is 92236560.
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.
481 x 235 x 235 x 816 = 21675591600
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.
481 : 1, 13, 37, 481
235 : 1, 5, 47, 235
235 : 1, 5, 47, 235
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,235,235,816, is 1.
Now, the common factors can be found like this.
481:13x 37
235:5x 47
235:5x 47
816:2x 2x 2x 2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 47 = 235
Therefore, the value for common factors is 235.
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 = 21675591600/(1x235)
LCM = 21675591600/235
LCM = 92236560
Thus, we can understand that the LCM of 481,235,235,816 is 92236560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 481, 235, 235, 816?
Answer: LCM of 481, 235, 235, 816 is 92236560.
2. How to calculate the LCM of 481, 235, 235, 816?
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 481, 235, 235, 816.
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}.