LCM of 622, 729, 723, 897, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 622, 729, 723, 897, 273 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 622, 729, 723, 897, 273. So, keep reading to learn more.
Given numbers are 622,729,723,897,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 622,729,723,897,273 is 228720021894.
Find LCM of 622,729,723,897,273 with Prime Factorization
| 3 | 622, 729, 723, 897, 273 |
| 13 | 622, 243, 241, 299, 91 |
| 622, 243, 241, 23, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 622 x 243 x 241 x 23 x 7 = 228720021894
Therefore, the lowest common multiple of 622,729,723,897,273 is 228720021894.
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.
622 x 729 x 723 x 897 x 273 = 80280727684794
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.
622 : 1, 2, 311, 622
729 : 1, 3, 9, 27, 81, 243, 729
723 : 1, 3, 241, 723
897 : 1, 3, 13, 23, 39, 69, 299, 897
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 622,729,723,897,273, is 1.
Now, the common factors can be found like this.
622:2x 311
729:3x 3x 3x 3x 3x 3
723:3x 241
897:3x 13x 23
273:3x 7x 13
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 13 = 351
Therefore, the value for common factors is 351.
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 = 80280727684794/(1x351)
LCM = 80280727684794/351
LCM = 228720021894
Thus, we can understand that the LCM of 622,729,723,897,273 is 228720021894.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 622, 729, 723, 897, 273
1. What is the LCM of 622, 729, 723, 897, 273?
Answer: LCM of 622, 729, 723, 897, 273 is 228720021894.
2. How to calculate the LCM of 622, 729, 723, 897, 273?
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 622, 729, 723, 897, 273.
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}.