LCM of 391, 973, 575, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 973, 575, 417 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 391, 973, 575, 417. So, keep reading to learn more.
Given numbers are 391,973,575,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,973,575,417 is 28533225.
Find LCM of 391,973,575,417 with Prime Factorization
| 23 | 391, 973, 575, 417 |
| 139 | 17, 973, 25, 417 |
| 17, 7, 25, 3 |
Multiply the prime numbers at the bottom and the left side.
23 x 139 x 17 x 7 x 25 x 3 = 28533225
Therefore, the lowest common multiple of 391,973,575,417 is 28533225.
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.
391 x 973 x 575 x 417 = 91220720325
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.
391 : 1, 17, 23, 391
973 : 1, 7, 139, 973
575 : 1, 5, 23, 25, 115, 575
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,973,575,417, is 1.
Now, the common factors can be found like this.
391:17x 23
973:7x 139
575:5x 5x 23
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 139 = 3197
Therefore, the value for common factors is 3197.
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 = 91220720325/(1x3197)
LCM = 91220720325/3197
LCM = 28533225
Thus, we can understand that the LCM of 391,973,575,417 is 28533225.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 391, 973, 575, 417
1. What is the LCM of 391, 973, 575, 417?
Answer: LCM of 391, 973, 575, 417 is 28533225.
2. How to calculate the LCM of 391, 973, 575, 417?
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 391, 973, 575, 417.
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}.