LCM of 323, 238, 867, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 238, 867, 357 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 323, 238, 867, 357. So, keep reading to learn more.
Given numbers are 323,238,867,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,238,867,357 is 230622.
Find LCM of 323,238,867,357 with Prime Factorization
| 3 | 323, 238, 867, 357 |
| 7 | 323, 238, 289, 119 |
| 17 | 323, 34, 289, 17 |
| 19, 2, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 19 x 2 x 1 x 17 = 230622
Therefore, the lowest common multiple of 323,238,867,357 is 230622.
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.
323 x 238 x 867 x 357 = 23793963606
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.
323 : 1, 17, 19, 323
238 : 1, 2, 7, 14, 17, 34, 119, 238
867 : 1, 3, 17, 51, 289, 867
357 : 1, 3, 7, 17, 21, 51, 119, 357
17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,238,867,357, is 17.
Now, the common factors can be found like this.
323:17x 19
238:2x 7x 17
867:3x 17x 17
357:3x 7x 17
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 17x 17 = 6069
Therefore, the value for common factors is 6069.
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 = 23793963606/(17x6069)
LCM = 23793963606/103173
LCM = 230622
Thus, we can understand that the LCM of 323,238,867,357 is 230622.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 323, 238, 867, 357
1. What is the LCM of 323, 238, 867, 357?
Answer: LCM of 323, 238, 867, 357 is 230622.
2. How to calculate the LCM of 323, 238, 867, 357?
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 323, 238, 867, 357.
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}.