LCM of 825, 814, 282, 608, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 814, 282, 608, 564 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 825, 814, 282, 608, 564. So, keep reading to learn more.
Given numbers are 825,814,282,608,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,814,282,608,564 is 872282400.
Find LCM of 825,814,282,608,564 with Prime Factorization
| 2 | 825, 814, 282, 608, 564 |
| 2 | 825, 407, 141, 304, 282 |
| 3 | 825, 407, 141, 152, 141 |
| 11 | 275, 407, 47, 152, 47 |
| 47 | 25, 37, 47, 152, 47 |
| 25, 37, 1, 152, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 47 x 25 x 37 x 1 x 152 x 1 = 872282400
Therefore, the lowest common multiple of 825,814,282,608,564 is 872282400.
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.
825 x 814 x 282 x 608 x 564 = 64939680115200
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
814 : 1, 2, 11, 22, 37, 74, 407, 814
282 : 1, 2, 3, 6, 47, 94, 141, 282
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,814,282,608,564, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
814:2x 11x 37
282:2x 3x 47
608:2x 2x 2x 2x 2x 19
564:2x 2x 3x 47
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 3x 3x 11x 47 = 74448
Therefore, the value for common factors is 74448.
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 = 64939680115200/(1x74448)
LCM = 64939680115200/74448
LCM = 872282400
Thus, we can understand that the LCM of 825,814,282,608,564 is 872282400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 825, 814, 282, 608, 564
1. What is the LCM of 825, 814, 282, 608, 564?
Answer: LCM of 825, 814, 282, 608, 564 is 872282400.
2. How to calculate the LCM of 825, 814, 282, 608, 564?
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 825, 814, 282, 608, 564.
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}.