LCM of 575, 713, 265, 633, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 575, 713, 265, 633, 289 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 575, 713, 265, 633, 289. So, keep reading to learn more.
Given numbers are 575,713,265,633,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 575,713,265,633,289 is 172825157325.
Find LCM of 575,713,265,633,289 with Prime Factorization
| 5 | 575, 713, 265, 633, 289 |
| 23 | 115, 713, 53, 633, 289 |
| 5, 31, 53, 633, 289 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 5 x 31 x 53 x 633 x 289 = 172825157325
Therefore, the lowest common multiple of 575,713,265,633,289 is 172825157325.
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.
575 x 713 x 265 x 633 x 289 = 19874893092375
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.
575 : 1, 5, 23, 25, 115, 575
713 : 1, 23, 31, 713
265 : 1, 5, 53, 265
633 : 1, 3, 211, 633
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,713,265,633,289, is 1.
Now, the common factors can be found like this.
575:5x 5x 23
713:23x 31
265:5x 53
633:3x 211
289:17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23 = 115
Therefore, the value for common factors is 115.
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 = 19874893092375/(1x115)
LCM = 19874893092375/115
LCM = 172825157325
Thus, we can understand that the LCM of 575,713,265,633,289 is 172825157325.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 575, 713, 265, 633, 289
1. What is the LCM of 575, 713, 265, 633, 289?
Answer: LCM of 575, 713, 265, 633, 289 is 172825157325.
2. How to calculate the LCM of 575, 713, 265, 633, 289?
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 575, 713, 265, 633, 289.
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}.