LCM of 284, 923, 939, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 923, 939, 975 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 284, 923, 939, 975. So, keep reading to learn more.
Given numbers are 284,923,939,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,923,939,975 is 86669700.
Find LCM of 284,923,939,975 with Prime Factorization
| 3 | 284, 923, 939, 975 |
| 13 | 284, 923, 313, 325 |
| 71 | 284, 71, 313, 25 |
| 4, 1, 313, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 71 x 4 x 1 x 313 x 25 = 86669700
Therefore, the lowest common multiple of 284,923,939,975 is 86669700.
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.
284 x 923 x 939 x 975 = 239988399300
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.
284 : 1, 2, 4, 71, 142, 284
923 : 1, 13, 71, 923
939 : 1, 3, 313, 939
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,923,939,975, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
923:13x 71
939:3x 313
975:3x 5x 5x 13
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 71 = 2769
Therefore, the value for common factors is 2769.
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 = 239988399300/(1x2769)
LCM = 239988399300/2769
LCM = 86669700
Thus, we can understand that the LCM of 284,923,939,975 is 86669700.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 284, 923, 939, 975
1. What is the LCM of 284, 923, 939, 975?
Answer: LCM of 284, 923, 939, 975 is 86669700.
2. How to calculate the LCM of 284, 923, 939, 975?
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 284, 923, 939, 975.
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}.