LCM of 481, 961, 975, 819, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 961, 975, 819, 871 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, 961, 975, 819, 871. So, keep reading to learn more.
Given numbers are 481,961,975,819,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,961,975,819,871 is 48777981525.
Find LCM of 481,961,975,819,871 with Prime Factorization
| 3 | 481, 961, 975, 819, 871 |
| 13 | 481, 961, 325, 273, 871 |
| 37, 961, 25, 21, 67 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 37 x 961 x 25 x 21 x 67 = 48777981525
Therefore, the lowest common multiple of 481,961,975,819,871 is 48777981525.
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 961 x 975 x 819 x 871 = 321495676231275
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
961 : 1, 31, 961
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,961,975,819,871, is 1.
Now, the common factors can be found like this.
481:13x 37
961:31x 31
975:3x 5x 5x 13
819:3x 3x 7x 13
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 13x 13 = 6591
Therefore, the value for common factors is 6591.
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 = 321495676231275/(1x6591)
LCM = 321495676231275/6591
LCM = 48777981525
Thus, we can understand that the LCM of 481,961,975,819,871 is 48777981525.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 481, 961, 975, 819, 871
1. What is the LCM of 481, 961, 975, 819, 871?
Answer: LCM of 481, 961, 975, 819, 871 is 48777981525.
2. How to calculate the LCM of 481, 961, 975, 819, 871?
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, 961, 975, 819, 871.
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}.