Find the LCM of 4114, 4811 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 4114, 4811. So, keep reading to learn more.
Given numbers are 4114,4811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 4114,4811 is 1164262.
Find LCM of 4114,4811 with Prime Factorization
| 17 | 4114, 4811 |
| 242, 283 |
Multiply the prime numbers at the bottom and the left side.
17 x 242 x 283 = 1164262
Therefore, the lowest common multiple of 4114,4811 is 1164262.
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.
4114 x 4811 = 19792454
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.
4114 : 1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114
4811 : 1, 17, 283, 4811
17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4114,4811, is 17.
Now, the common factors can be found like this.
4114:2x 11x 11x 17
4811:17x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 19792454/(17x1)
LCM = 19792454/17
LCM = 1164262
Thus, we can understand that the LCM of 4114,4811 is 1164262.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 4114, 4811?
Answer: LCM of 4114, 4811 is 1164262.
2. How to calculate the LCM of 4114, 4811?
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 4114, 4811.
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}.