LCM of 583, 638, 522, 895
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 638, 522, 895 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, 638, 522, 895. So, keep reading to learn more.
Given numbers are 583,638,522,895
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,638,522,895 is 272371770.
Find LCM of 583,638,522,895 with Prime Factorization
| 2 | 583, 638, 522, 895 |
| 11 | 583, 319, 261, 895 |
| 29 | 53, 29, 261, 895 |
| 53, 1, 9, 895 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 53 x 1 x 9 x 895 = 272371770
Therefore, the lowest common multiple of 583,638,522,895 is 272371770.
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 638 x 522 x 895 = 173773189260
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
638 : 1, 2, 11, 22, 29, 58, 319, 638
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
895 : 1, 5, 179, 895
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,638,522,895, is 1.
Now, the common factors can be found like this.
583:11x 53
638:2x 11x 29
522:2x 3x 3x 29
895:5x 179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 29 = 638
Therefore, the value for common factors is 638.
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 = 173773189260/(1x638)
LCM = 173773189260/638
LCM = 272371770
Thus, we can understand that the LCM of 583,638,522,895 is 272371770.
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, 638, 522, 895
1. What is the LCM of 583, 638, 522, 895?
Answer: LCM of 583, 638, 522, 895 is 272371770.
2. How to calculate the LCM of 583, 638, 522, 895?
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, 638, 522, 895.
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}.