Find the LCM of 973, 897, 481, 923, 954 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, 897, 481, 923, 954. So, keep reading to learn more.
Given numbers are 973,897,481,923,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,897,481,923,954 is 729109028466.
Find LCM of 973,897,481,923,954 with Prime Factorization
3 | 973, 897, 481, 923, 954 |
13 | 973, 299, 481, 923, 318 |
973, 23, 37, 71, 318 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 973 x 23 x 37 x 71 x 318 = 729109028466
Therefore, the lowest common multiple of 973,897,481,923,954 is 729109028466.
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 897 x 481 x 923 x 954 = 369658277432262
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
897 : 1, 3, 13, 23, 39, 69, 299, 897
481 : 1, 13, 37, 481
923 : 1, 13, 71, 923
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,897,481,923,954, is 1.
Now, the common factors can be found like this.
973:7x 139
897:3x 13x 23
481:13x 37
923:13x 71
954:2x 3x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 13 = 507
Therefore, the value for common factors is 507.
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 = 369658277432262/(1x507)
LCM = 369658277432262/507
LCM = 729109028466
Thus, we can understand that the LCM of 973,897,481,923,954 is 729109028466.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 973, 897, 481, 923, 954?
Answer: LCM of 973, 897, 481, 923, 954 is 729109028466.
2. How to calculate the LCM of 973, 897, 481, 923, 954?
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, 897, 481, 923, 954.
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}.