LCM of 810, 189, 865, 231, 799
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 189, 865, 231, 799 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 810, 189, 865, 231, 799. So, keep reading to learn more.
Given numbers are 810,189,865,231,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,189,865,231,799 is 8621217990.
Find LCM of 810,189,865,231,799 with Prime Factorization
| 3 | 810, 189, 865, 231, 799 |
| 3 | 270, 63, 865, 77, 799 |
| 3 | 90, 21, 865, 77, 799 |
| 5 | 30, 7, 865, 77, 799 |
| 7 | 6, 7, 173, 77, 799 |
| 6, 1, 173, 11, 799 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 6 x 1 x 173 x 11 x 799 = 8621217990
Therefore, the lowest common multiple of 810,189,865,231,799 is 8621217990.
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.
810 x 189 x 865 x 231 x 799 = 24441153001650
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
189 : 1, 3, 7, 9, 21, 27, 63, 189
865 : 1, 5, 173, 865
231 : 1, 3, 7, 11, 21, 33, 77, 231
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,189,865,231,799, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
189:3x 3x 3x 7
865:5x 173
231:3x 7x 11
799:17x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5x 7 = 2835
Therefore, the value for common factors is 2835.
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 = 24441153001650/(1x2835)
LCM = 24441153001650/2835
LCM = 8621217990
Thus, we can understand that the LCM of 810,189,865,231,799 is 8621217990.
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FAQs on LCM of 810, 189, 865, 231, 799
1. What is the LCM of 810, 189, 865, 231, 799?
Answer: LCM of 810, 189, 865, 231, 799 is 8621217990.
2. How to calculate the LCM of 810, 189, 865, 231, 799?
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 810, 189, 865, 231, 799.
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}.