LCM of 315, 289, 105, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 289, 105, 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 315, 289, 105, 231. So, keep reading to learn more.
Given numbers are 315,289,105,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,289,105,231 is 1001385.
Find LCM of 315,289,105,231 with Prime Factorization
| 3 | 315, 289, 105, 231 |
| 5 | 105, 289, 35, 77 |
| 7 | 21, 289, 7, 77 |
| 3, 289, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 3 x 289 x 1 x 11 = 1001385
Therefore, the lowest common multiple of 315,289,105,231 is 1001385.
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.
315 x 289 x 105 x 231 = 2208053925
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
289 : 1, 17, 289
105 : 1, 3, 5, 7, 15, 21, 35, 105
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 315,289,105,231, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
289:17x 17
105:3x 5x 7
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.
3x 3x 5x 7x 7 = 2205
Therefore, the value for common factors is 2205.
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 = 2208053925/(1x2205)
LCM = 2208053925/2205
LCM = 1001385
Thus, we can understand that the LCM of 315,289,105,231 is 1001385.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 315, 289, 105, 231
1. What is the LCM of 315, 289, 105, 231?
Answer: LCM of 315, 289, 105, 231 is 1001385.
2. How to calculate the LCM of 315, 289, 105, 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 315, 289, 105, 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}.