LCM of 923, 489, 900, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 489, 900, 810 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, 489, 900, 810. So, keep reading to learn more.
Given numbers are 923,489,900,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,489,900,810 is 1218636900.
Find LCM of 923,489,900,810 with Prime Factorization
| 2 | 923, 489, 900, 810 |
| 3 | 923, 489, 450, 405 |
| 3 | 923, 163, 150, 135 |
| 5 | 923, 163, 50, 45 |
| 923, 163, 10, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 923 x 163 x 10 x 9 = 1218636900
Therefore, the lowest common multiple of 923,489,900,810 is 1218636900.
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 489 x 900 x 810 = 329031963000
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
489 : 1, 3, 163, 489
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,489,900,810, is 1.
Now, the common factors can be found like this.
923:13x 71
489:3x 163
900:2x 2x 3x 3x 5x 5
810:2x 3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 329031963000/(1x270)
LCM = 329031963000/270
LCM = 1218636900
Thus, we can understand that the LCM of 923,489,900,810 is 1218636900.
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FAQs on LCM of 923, 489, 900, 810
1. What is the LCM of 923, 489, 900, 810?
Answer: LCM of 923, 489, 900, 810 is 1218636900.
2. How to calculate the LCM of 923, 489, 900, 810?
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, 489, 900, 810.
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}.