LCM of 797, 363, 413, 525, 353
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 363, 413, 525, 353 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 797, 363, 413, 525, 353. So, keep reading to learn more.
Given numbers are 797,363,413,525,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,363,413,525,353 is 1054459034475.
Find LCM of 797,363,413,525,353 with Prime Factorization
| 3 | 797, 363, 413, 525, 353 |
| 7 | 797, 121, 413, 175, 353 |
| 797, 121, 59, 25, 353 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 797 x 121 x 59 x 25 x 353 = 1054459034475
Therefore, the lowest common multiple of 797,363,413,525,353 is 1054459034475.
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.
797 x 363 x 413 x 525 x 353 = 22143639723975
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.
797 : 1, 797
363 : 1, 3, 11, 33, 121, 363
413 : 1, 7, 59, 413
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,363,413,525,353, is 1.
Now, the common factors can be found like this.
797:797
363:3x 11x 11
413:7x 59
525:3x 5x 5x 7
353:353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 22143639723975/(1x21)
LCM = 22143639723975/21
LCM = 1054459034475
Thus, we can understand that the LCM of 797,363,413,525,353 is 1054459034475.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 797, 363, 413, 525, 353
1. What is the LCM of 797, 363, 413, 525, 353?
Answer: LCM of 797, 363, 413, 525, 353 is 1054459034475.
2. How to calculate the LCM of 797, 363, 413, 525, 353?
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 797, 363, 413, 525, 353.
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}.