LCM of 481, 109, 814, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 109, 814, 990 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, 109, 814, 990. So, keep reading to learn more.
Given numbers are 481,109,814,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,109,814,990 is 51904710.
Find LCM of 481,109,814,990 with Prime Factorization
| 2 | 481, 109, 814, 990 |
| 11 | 481, 109, 407, 495 |
| 37 | 481, 109, 37, 45 |
| 13, 109, 1, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 37 x 13 x 109 x 1 x 45 = 51904710
Therefore, the lowest common multiple of 481,109,814,990 is 51904710.
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 109 x 814 x 990 = 42250433940
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
109 : 1, 109
814 : 1, 2, 11, 22, 37, 74, 407, 814
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,109,814,990, is 1.
Now, the common factors can be found like this.
481:13x 37
109:109
814:2x 11x 37
990:2x 3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 37 = 814
Therefore, the value for common factors is 814.
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 = 42250433940/(1x814)
LCM = 42250433940/814
LCM = 51904710
Thus, we can understand that the LCM of 481,109,814,990 is 51904710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 481, 109, 814, 990
1. What is the LCM of 481, 109, 814, 990?
Answer: LCM of 481, 109, 814, 990 is 51904710.
2. How to calculate the LCM of 481, 109, 814, 990?
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, 109, 814, 990.
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}.