Find the LCM of 914, 928, 923, 157, 446 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 914, 928, 923, 157, 446. So, keep reading to learn more.
Given numbers are 914,928,923,157,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,928,923,157,446 is 13704727126688.
Find LCM of 914,928,923,157,446 with Prime Factorization
2 | 914, 928, 923, 157, 446 |
457, 464, 923, 157, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 457 x 464 x 923 x 157 x 223 = 13704727126688
Therefore, the lowest common multiple of 914,928,923,157,446 is 13704727126688.
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.
914 x 928 x 923 x 157 x 446 = 54818908506752
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.
914 : 1, 2, 457, 914
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
923 : 1, 13, 71, 923
157 : 1, 157
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,928,923,157,446, is 1.
Now, the common factors can be found like this.
914:2x 457
928:2x 2x 2x 2x 2x 29
923:13x 71
157:157
446:2x 223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 54818908506752/(1x4)
LCM = 54818908506752/4
LCM = 13704727126688
Thus, we can understand that the LCM of 914,928,923,157,446 is 13704727126688.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 928, 923, 157, 446?
Answer: LCM of 914, 928, 923, 157, 446 is 13704727126688.
2. How to calculate the LCM of 914, 928, 923, 157, 446?
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 914, 928, 923, 157, 446.
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}.