LCM of 257, 145, 481, 869, 481
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 145, 481, 869, 481 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 257, 145, 481, 869, 481. So, keep reading to learn more.
Given numbers are 257,145,481,869,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,145,481,869,481 is 15576360085.
Find LCM of 257,145,481,869,481 with Prime Factorization
| 13 | 257, 145, 481, 869, 481 |
| 37 | 257, 145, 37, 869, 37 |
| 257, 145, 1, 869, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 37 x 257 x 145 x 1 x 869 x 1 = 15576360085
Therefore, the lowest common multiple of 257,145,481,869,481 is 15576360085.
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.
257 x 145 x 481 x 869 x 481 = 7492229200885
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.
257 : 1, 257
145 : 1, 5, 29, 145
481 : 1, 13, 37, 481
869 : 1, 11, 79, 869
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,145,481,869,481, is 1.
Now, the common factors can be found like this.
257:257
145:5x 29
481:13x 37
869:11x 79
481:13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 37 = 481
Therefore, the value for common factors is 481.
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 = 7492229200885/(1x481)
LCM = 7492229200885/481
LCM = 15576360085
Thus, we can understand that the LCM of 257,145,481,869,481 is 15576360085.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 257, 145, 481, 869, 481
1. What is the LCM of 257, 145, 481, 869, 481?
Answer: LCM of 257, 145, 481, 869, 481 is 15576360085.
2. How to calculate the LCM of 257, 145, 481, 869, 481?
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 257, 145, 481, 869, 481.
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}.