LCM of 284, 923, 973, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 923, 973, 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 284, 923, 973, 923. So, keep reading to learn more.
Given numbers are 284,923,973,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,923,973,923 is 3592316.
Find LCM of 284,923,973,923 with Prime Factorization
| 13 | 284, 923, 973, 923 |
| 71 | 284, 71, 973, 71 |
| 4, 1, 973, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 71 x 4 x 1 x 973 x 1 = 3592316
Therefore, the lowest common multiple of 284,923,973,923 is 3592316.
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 973 x 923 = 235415244428
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
973 : 1, 7, 139, 973
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,923,973,923, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
923:13x 71
973:7x 139
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.
13x 71x 71 = 65533
Therefore, the value for common factors is 65533.
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 = 235415244428/(1x65533)
LCM = 235415244428/65533
LCM = 3592316
Thus, we can understand that the LCM of 284,923,973,923 is 3592316.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 284, 923, 973, 923
1. What is the LCM of 284, 923, 973, 923?
Answer: LCM of 284, 923, 973, 923 is 3592316.
2. How to calculate the LCM of 284, 923, 973, 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 284, 923, 973, 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}.