Find the LCM of 910, 363, 741, 105, 814 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 910, 363, 741, 105, 814. So, keep reading to learn more.
Given numbers are 910,363,741,105,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,363,741,105,814 is 232221990.
Find LCM of 910,363,741,105,814 with Prime Factorization
2 | 910, 363, 741, 105, 814 |
3 | 455, 363, 741, 105, 407 |
5 | 455, 121, 247, 35, 407 |
7 | 91, 121, 247, 7, 407 |
11 | 13, 121, 247, 1, 407 |
13 | 13, 11, 247, 1, 37 |
1, 11, 19, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 13 x 1 x 11 x 19 x 1 x 37 = 232221990
Therefore, the lowest common multiple of 910,363,741,105,814 is 232221990.
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.
910 x 363 x 741 x 105 x 814 = 20920879079100
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
363 : 1, 3, 11, 33, 121, 363
741 : 1, 3, 13, 19, 39, 57, 247, 741
105 : 1, 3, 5, 7, 15, 21, 35, 105
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,363,741,105,814, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
363:3x 11x 11
741:3x 13x 19
105:3x 5x 7
814:2x 11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 7x 11x 13 = 90090
Therefore, the value for common factors is 90090.
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 = 20920879079100/(1x90090)
LCM = 20920879079100/90090
LCM = 232221990
Thus, we can understand that the LCM of 910,363,741,105,814 is 232221990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 910, 363, 741, 105, 814?
Answer: LCM of 910, 363, 741, 105, 814 is 232221990.
2. How to calculate the LCM of 910, 363, 741, 105, 814?
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 910, 363, 741, 105, 814.
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}.