LCM of 923, 692, 326, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 692, 326, 519 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 923, 692, 326, 519. So, keep reading to learn more.
Given numbers are 923,692,326,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,692,326,519 is 312332124.
Find LCM of 923,692,326,519 with Prime Factorization
| 2 | 923, 692, 326, 519 |
| 173 | 923, 346, 163, 519 |
| 923, 2, 163, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 173 x 923 x 2 x 163 x 3 = 312332124
Therefore, the lowest common multiple of 923,692,326,519 is 312332124.
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.
923 x 692 x 326 x 519 = 108066914904
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.
923 : 1, 13, 71, 923
692 : 1, 2, 4, 173, 346, 692
326 : 1, 2, 163, 326
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,692,326,519, is 1.
Now, the common factors can be found like this.
923:13x 71
692:2x 2x 173
326:2x 163
519:3x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 173 = 346
Therefore, the value for common factors is 346.
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 = 108066914904/(1x346)
LCM = 108066914904/346
LCM = 312332124
Thus, we can understand that the LCM of 923,692,326,519 is 312332124.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 923, 692, 326, 519
1. What is the LCM of 923, 692, 326, 519?
Answer: LCM of 923, 692, 326, 519 is 312332124.
2. How to calculate the LCM of 923, 692, 326, 519?
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 923, 692, 326, 519.
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}.