LCM of 504, 312, 180, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 312, 180, 589 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 504, 312, 180, 589. So, keep reading to learn more.
Given numbers are 504,312,180,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,312,180,589 is 19295640.
Find LCM of 504,312,180,589 with Prime Factorization
| 2 | 504, 312, 180, 589 |
| 2 | 252, 156, 90, 589 |
| 2 | 126, 78, 45, 589 |
| 3 | 63, 39, 45, 589 |
| 3 | 21, 13, 15, 589 |
| 7, 13, 5, 589 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 13 x 5 x 589 = 19295640
Therefore, the lowest common multiple of 504,312,180,589 is 19295640.
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.
504 x 312 x 180 x 589 = 16671432960
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.
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,312,180,589, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
312:2x 2x 2x 3x 13
180:2x 2x 3x 3x 5
589:19x 31
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 2x 2x 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 16671432960/(1x864)
LCM = 16671432960/864
LCM = 19295640
Thus, we can understand that the LCM of 504,312,180,589 is 19295640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 504, 312, 180, 589
1. What is the LCM of 504, 312, 180, 589?
Answer: LCM of 504, 312, 180, 589 is 19295640.
2. How to calculate the LCM of 504, 312, 180, 589?
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 504, 312, 180, 589.
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}.