LCM of 382, 231, 255, 959, 143
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 231, 255, 959, 143 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 382, 231, 255, 959, 143. So, keep reading to learn more.
Given numbers are 382,231,255,959,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,231,255,959,143 is 13358515170.
Find LCM of 382,231,255,959,143 with Prime Factorization
| 3 | 382, 231, 255, 959, 143 |
| 7 | 382, 77, 85, 959, 143 |
| 11 | 382, 11, 85, 137, 143 |
| 382, 1, 85, 137, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 382 x 1 x 85 x 137 x 13 = 13358515170
Therefore, the lowest common multiple of 382,231,255,959,143 is 13358515170.
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.
382 x 231 x 255 x 959 x 143 = 3085817004270
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.
382 : 1, 2, 191, 382
231 : 1, 3, 7, 11, 21, 33, 77, 231
255 : 1, 3, 5, 15, 17, 51, 85, 255
959 : 1, 7, 137, 959
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,231,255,959,143, is 1.
Now, the common factors can be found like this.
382:2x 191
231:3x 7x 11
255:3x 5x 17
959:7x 137
143:11x 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 7x 11 = 231
Therefore, the value for common factors is 231.
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 = 3085817004270/(1x231)
LCM = 3085817004270/231
LCM = 13358515170
Thus, we can understand that the LCM of 382,231,255,959,143 is 13358515170.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 382, 231, 255, 959, 143
1. What is the LCM of 382, 231, 255, 959, 143?
Answer: LCM of 382, 231, 255, 959, 143 is 13358515170.
2. How to calculate the LCM of 382, 231, 255, 959, 143?
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 382, 231, 255, 959, 143.
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}.