LCM of 586, 327, 609, 633
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 327, 609, 633 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 586, 327, 609, 633. So, keep reading to learn more.
Given numbers are 586,327,609,633
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,327,609,633 is 8207745126.
Find LCM of 586,327,609,633 with Prime Factorization
| 3 | 586, 327, 609, 633 |
| 586, 109, 203, 211 |
Multiply the prime numbers at the bottom and the left side.
3 x 586 x 109 x 203 x 211 = 8207745126
Therefore, the lowest common multiple of 586,327,609,633 is 8207745126.
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.
586 x 327 x 609 x 633 = 73869706134
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.
586 : 1, 2, 293, 586
327 : 1, 3, 109, 327
609 : 1, 3, 7, 21, 29, 87, 203, 609
633 : 1, 3, 211, 633
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,327,609,633, is 1.
Now, the common factors can be found like this.
586:2x 293
327:3x 109
609:3x 7x 29
633:3x 211
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 73869706134/(1x9)
LCM = 73869706134/9
LCM = 8207745126
Thus, we can understand that the LCM of 586,327,609,633 is 8207745126.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 586, 327, 609, 633
1. What is the LCM of 586, 327, 609, 633?
Answer: LCM of 586, 327, 609, 633 is 8207745126.
2. How to calculate the LCM of 586, 327, 609, 633?
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 586, 327, 609, 633.
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}.