LCM of 577, 204, 377, 468, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 577, 204, 377, 468, 717 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 577, 204, 377, 468, 717. So, keep reading to learn more.
Given numbers are 577,204,377,468,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,204,377,468,717 is 31817531772.
Find LCM of 577,204,377,468,717 with Prime Factorization
| 2 | 577, 204, 377, 468, 717 |
| 2 | 577, 102, 377, 234, 717 |
| 3 | 577, 51, 377, 117, 717 |
| 13 | 577, 17, 377, 39, 239 |
| 577, 17, 29, 3, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 577 x 17 x 29 x 3 x 239 = 31817531772
Therefore, the lowest common multiple of 577,204,377,468,717 is 31817531772.
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.
577 x 204 x 377 x 468 x 717 = 14890604869296
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.
577 : 1, 577
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
377 : 1, 13, 29, 377
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,204,377,468,717, is 1.
Now, the common factors can be found like this.
577:577
204:2x 2x 3x 17
377:13x 29
468:2x 2x 3x 3x 13
717:3x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 14890604869296/(1x468)
LCM = 14890604869296/468
LCM = 31817531772
Thus, we can understand that the LCM of 577,204,377,468,717 is 31817531772.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 577, 204, 377, 468, 717
1. What is the LCM of 577, 204, 377, 468, 717?
Answer: LCM of 577, 204, 377, 468, 717 is 31817531772.
2. How to calculate the LCM of 577, 204, 377, 468, 717?
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 577, 204, 377, 468, 717.
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}.