LCM of 580, 419, 957, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 580, 419, 957, 253 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 580, 419, 957, 253. So, keep reading to learn more.
Given numbers are 580,419,957,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,419,957,253 is 184452180.
Find LCM of 580,419,957,253 with Prime Factorization
| 11 | 580, 419, 957, 253 |
| 29 | 580, 419, 87, 23 |
| 20, 419, 3, 23 |
Multiply the prime numbers at the bottom and the left side.
11 x 29 x 20 x 419 x 3 x 23 = 184452180
Therefore, the lowest common multiple of 580,419,957,253 is 184452180.
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.
580 x 419 x 957 x 253 = 58840245420
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.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
419 : 1, 419
957 : 1, 3, 11, 29, 33, 87, 319, 957
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,419,957,253, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
419:419
957:3x 11x 29
253:11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 29 = 319
Therefore, the value for common factors is 319.
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 = 58840245420/(1x319)
LCM = 58840245420/319
LCM = 184452180
Thus, we can understand that the LCM of 580,419,957,253 is 184452180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 580, 419, 957, 253
1. What is the LCM of 580, 419, 957, 253?
Answer: LCM of 580, 419, 957, 253 is 184452180.
2. How to calculate the LCM of 580, 419, 957, 253?
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 580, 419, 957, 253.
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}.