Find the LCM of 973, 169, 729, 923 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 973, 169, 729, 923. So, keep reading to learn more.
Given numbers are 973,169,729,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,169,729,923 is 8511094683.
Find LCM of 973,169,729,923 with Prime Factorization
13 | 973, 169, 729, 923 |
973, 13, 729, 71 |
Multiply the prime numbers at the bottom and the left side.
13 x 973 x 13 x 729 x 71 = 8511094683
Therefore, the lowest common multiple of 973,169,729,923 is 8511094683.
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.
973 x 169 x 729 x 923 = 110644230879
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.
973 : 1, 7, 139, 973
169 : 1, 13, 169
729 : 1, 3, 9, 27, 81, 243, 729
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,169,729,923, is 1.
Now, the common factors can be found like this.
973:7x 139
169:13x 13
729:3x 3x 3x 3x 3x 3
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 110644230879/(1x13)
LCM = 110644230879/13
LCM = 8511094683
Thus, we can understand that the LCM of 973,169,729,923 is 8511094683.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 973, 169, 729, 923?
Answer: LCM of 973, 169, 729, 923 is 8511094683.
2. How to calculate the LCM of 973, 169, 729, 923?
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 973, 169, 729, 923.
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}.