LCM of 481, 913, 579, 504, 251
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 913, 579, 504, 251 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, 913, 579, 504, 251. So, keep reading to learn more.
Given numbers are 481,913,579,504,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,913,579,504,251 is 10722039944616.
Find LCM of 481,913,579,504,251 with Prime Factorization
| 3 | 481, 913, 579, 504, 251 |
| 481, 913, 193, 168, 251 |
Multiply the prime numbers at the bottom and the left side.
3 x 481 x 913 x 193 x 168 x 251 = 10722039944616
Therefore, the lowest common multiple of 481,913,579,504,251 is 10722039944616.
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 913 x 579 x 504 x 251 = 32166119833848
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
913 : 1, 11, 83, 913
579 : 1, 3, 193, 579
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,913,579,504,251, is 1.
Now, the common factors can be found like this.
481:13x 37
913:11x 83
579:3x 193
504:2x 2x 2x 3x 3x 7
251:251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 32166119833848/(1x3)
LCM = 32166119833848/3
LCM = 10722039944616
Thus, we can understand that the LCM of 481,913,579,504,251 is 10722039944616.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 481, 913, 579, 504, 251
1. What is the LCM of 481, 913, 579, 504, 251?
Answer: LCM of 481, 913, 579, 504, 251 is 10722039944616.
2. How to calculate the LCM of 481, 913, 579, 504, 251?
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, 913, 579, 504, 251.
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}.