Find the LCM of 505, 247, 481, 894 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 505, 247, 481, 894. So, keep reading to learn more.
Given numbers are 505,247,481,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,247,481,894 is 4125984330.
Find LCM of 505,247,481,894 with Prime Factorization
13 | 505, 247, 481, 894 |
505, 19, 37, 894 |
Multiply the prime numbers at the bottom and the left side.
13 x 505 x 19 x 37 x 894 = 4125984330
Therefore, the lowest common multiple of 505,247,481,894 is 4125984330.
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.
505 x 247 x 481 x 894 = 53637796290
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.
505 : 1, 5, 101, 505
247 : 1, 13, 19, 247
481 : 1, 13, 37, 481
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,247,481,894, is 1.
Now, the common factors can be found like this.
505:5x 101
247:13x 19
481:13x 37
894:2x 3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 53637796290/(1x13)
LCM = 53637796290/13
LCM = 4125984330
Thus, we can understand that the LCM of 505,247,481,894 is 4125984330.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 505, 247, 481, 894?
Answer: LCM of 505, 247, 481, 894 is 4125984330.
2. How to calculate the LCM of 505, 247, 481, 894?
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 505, 247, 481, 894.
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}.