LCM of 583, 412, 305, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 412, 305, 649 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 583, 412, 305, 649. So, keep reading to learn more.
Given numbers are 583,412,305,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,412,305,649 is 4322327020.
Find LCM of 583,412,305,649 with Prime Factorization
| 11 | 583, 412, 305, 649 |
| 53, 412, 305, 59 |
Multiply the prime numbers at the bottom and the left side.
11 x 53 x 412 x 305 x 59 = 4322327020
Therefore, the lowest common multiple of 583,412,305,649 is 4322327020.
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.
583 x 412 x 305 x 649 = 47545597220
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.
583 : 1, 11, 53, 583
412 : 1, 2, 4, 103, 206, 412
305 : 1, 5, 61, 305
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,412,305,649, is 1.
Now, the common factors can be found like this.
583:11x 53
412:2x 2x 103
305:5x 61
649:11x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 47545597220/(1x11)
LCM = 47545597220/11
LCM = 4322327020
Thus, we can understand that the LCM of 583,412,305,649 is 4322327020.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 583, 412, 305, 649
1. What is the LCM of 583, 412, 305, 649?
Answer: LCM of 583, 412, 305, 649 is 4322327020.
2. How to calculate the LCM of 583, 412, 305, 649?
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 583, 412, 305, 649.
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}.