Find the LCM of 481, 418, 407, 129, 745 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, 418, 407, 129, 745. So, keep reading to learn more.
Given numbers are 481,418,407,129,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,418,407,129,745 is 19322679090.
Find LCM of 481,418,407,129,745 with Prime Factorization
11 | 481, 418, 407, 129, 745 |
37 | 481, 38, 37, 129, 745 |
13, 38, 1, 129, 745 |
Multiply the prime numbers at the bottom and the left side.
11 x 37 x 13 x 38 x 1 x 129 x 745 = 19322679090
Therefore, the lowest common multiple of 481,418,407,129,745 is 19322679090.
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 418 x 407 x 129 x 745 = 7864330389630
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
418 : 1, 2, 11, 19, 22, 38, 209, 418
407 : 1, 11, 37, 407
129 : 1, 3, 43, 129
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,418,407,129,745, is 1.
Now, the common factors can be found like this.
481:13x 37
418:2x 11x 19
407:11x 37
129:3x 43
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 37 = 407
Therefore, the value for common factors is 407.
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 = 7864330389630/(1x407)
LCM = 7864330389630/407
LCM = 19322679090
Thus, we can understand that the LCM of 481,418,407,129,745 is 19322679090.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 481, 418, 407, 129, 745?
Answer: LCM of 481, 418, 407, 129, 745 is 19322679090.
2. How to calculate the LCM of 481, 418, 407, 129, 745?
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, 418, 407, 129, 745.
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}.