Find the LCM of 381, 289, 629 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 381, 289, 629. So, keep reading to learn more.
Given numbers are 381,289,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,289,629 is 4074033.
Find LCM of 381,289,629 with Prime Factorization
17 | 381, 289, 629 |
381, 17, 37 |
Multiply the prime numbers at the bottom and the left side.
17 x 381 x 17 x 37 = 4074033
Therefore, the lowest common multiple of 381,289,629 is 4074033.
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.
381 x 289 x 629 = 69258561
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.
381 : 1, 3, 127, 381
289 : 1, 17, 289
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,289,629, is 1.
Now, the common factors can be found like this.
381:3x 127
289:17x 17
629:17x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 69258561/(1x17)
LCM = 69258561/17
LCM = 4074033
Thus, we can understand that the LCM of 381,289,629 is 4074033.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 381, 289, 629?
Answer: LCM of 381, 289, 629 is 4074033.
2. How to calculate the LCM of 381, 289, 629?
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 381, 289, 629.
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}.