LCM of 192, 446, 305, 505, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 192, 446, 305, 505, 574 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 192, 446, 305, 505, 574. So, keep reading to learn more.
Given numbers are 192,446,305,505,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 192,446,305,505,574 is 378537754560.
Find LCM of 192,446,305,505,574 with Prime Factorization
| 2 | 192, 446, 305, 505, 574 |
| 5 | 96, 223, 305, 505, 287 |
| 96, 223, 61, 101, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 96 x 223 x 61 x 101 x 287 = 378537754560
Therefore, the lowest common multiple of 192,446,305,505,574 is 378537754560.
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.
192 x 446 x 305 x 505 x 574 = 7570755091200
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.
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
446 : 1, 2, 223, 446
305 : 1, 5, 61, 305
505 : 1, 5, 101, 505
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,446,305,505,574, is 1.
Now, the common factors can be found like this.
192:2x 2x 2x 2x 2x 2x 3
446:2x 223
305:5x 61
505:5x 101
574:2x 7x 41
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 5 = 20
Therefore, the value for common factors is 20.
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 = 7570755091200/(1x20)
LCM = 7570755091200/20
LCM = 378537754560
Thus, we can understand that the LCM of 192,446,305,505,574 is 378537754560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 192, 446, 305, 505, 574
1. What is the LCM of 192, 446, 305, 505, 574?
Answer: LCM of 192, 446, 305, 505, 574 is 378537754560.
2. How to calculate the LCM of 192, 446, 305, 505, 574?
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 192, 446, 305, 505, 574.
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}.