LCM of 401, 323, 810, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 323, 810, 231 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 401, 323, 810, 231. So, keep reading to learn more.
Given numbers are 401,323,810,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,323,810,231 is 8078349510.
Find LCM of 401,323,810,231 with Prime Factorization
| 3 | 401, 323, 810, 231 |
| 401, 323, 270, 77 |
Multiply the prime numbers at the bottom and the left side.
3 x 401 x 323 x 270 x 77 = 8078349510
Therefore, the lowest common multiple of 401,323,810,231 is 8078349510.
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.
401 x 323 x 810 x 231 = 24235048530
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.
401 : 1, 401
323 : 1, 17, 19, 323
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,323,810,231, is 1.
Now, the common factors can be found like this.
401:401
323:17x 19
810:2x 3x 3x 3x 3x 5
231:3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 24235048530/(1x3)
LCM = 24235048530/3
LCM = 8078349510
Thus, we can understand that the LCM of 401,323,810,231 is 8078349510.
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FAQs on LCM of 401, 323, 810, 231
1. What is the LCM of 401, 323, 810, 231?
Answer: LCM of 401, 323, 810, 231 is 8078349510.
2. How to calculate the LCM of 401, 323, 810, 231?
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 401, 323, 810, 231.
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}.