LCM of 993, 405, 834, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 405, 834, 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 993, 405, 834, 810. So, keep reading to learn more.
Given numbers are 993,405,834,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,405,834,810 is 37267290.
Find LCM of 993,405,834,810 with Prime Factorization
| 2 | 993, 405, 834, 810 |
| 3 | 993, 405, 417, 405 |
| 3 | 331, 135, 139, 135 |
| 3 | 331, 45, 139, 45 |
| 3 | 331, 15, 139, 15 |
| 5 | 331, 5, 139, 5 |
| 331, 1, 139, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 331 x 1 x 139 x 1 = 37267290
Therefore, the lowest common multiple of 993,405,834,810 is 37267290.
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.
993 x 405 x 834 x 810 = 271678544100
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.
993 : 1, 3, 331, 993
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
834 : 1, 2, 3, 6, 139, 278, 417, 834
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,405,834,810, is 3.
Now, the common factors can be found like this.
993:3x 331
405:3x 3x 3x 3x 5
834:2x 3x 139
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 3x 3x 5 = 2430
Therefore, the value for common factors is 2430.
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 = 271678544100/(3x2430)
LCM = 271678544100/7290
LCM = 37267290
Thus, we can understand that the LCM of 993,405,834,810 is 37267290.
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FAQs on LCM of 993, 405, 834, 810
1. What is the LCM of 993, 405, 834, 810?
Answer: LCM of 993, 405, 834, 810 is 37267290.
2. How to calculate the LCM of 993, 405, 834, 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 993, 405, 834, 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}.