LCM of 363, 981, 327, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 981, 327, 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 363, 981, 327, 810. So, keep reading to learn more.
Given numbers are 363,981,327,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,981,327,810 is 10683090.
Find LCM of 363,981,327,810 with Prime Factorization
| 3 | 363, 981, 327, 810 |
| 3 | 121, 327, 109, 270 |
| 109 | 121, 109, 109, 90 |
| 121, 1, 1, 90 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 109 x 121 x 1 x 1 x 90 = 10683090
Therefore, the lowest common multiple of 363,981,327,810 is 10683090.
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.
363 x 981 x 327 x 810 = 94321001610
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.
363 : 1, 3, 11, 33, 121, 363
981 : 1, 3, 9, 109, 327, 981
327 : 1, 3, 109, 327
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 363,981,327,810, is 3.
Now, the common factors can be found like this.
363:3x 11x 11
981:3x 3x 109
327:3x 109
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.
3x 3x 3x 109 = 2943
Therefore, the value for common factors is 2943.
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 = 94321001610/(3x2943)
LCM = 94321001610/8829
LCM = 10683090
Thus, we can understand that the LCM of 363,981,327,810 is 10683090.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 363, 981, 327, 810
1. What is the LCM of 363, 981, 327, 810?
Answer: LCM of 363, 981, 327, 810 is 10683090.
2. How to calculate the LCM of 363, 981, 327, 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 363, 981, 327, 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}.