LCM of 284, 634, 372, 363, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 634, 372, 363, 816 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 284, 634, 372, 363, 816. So, keep reading to learn more.
Given numbers are 284,634,372,363,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,634,372,363,816 is 68889785712.
Find LCM of 284,634,372,363,816 with Prime Factorization
| 2 | 284, 634, 372, 363, 816 |
| 2 | 142, 317, 186, 363, 408 |
| 3 | 71, 317, 93, 363, 204 |
| 71, 317, 31, 121, 68 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 317 x 31 x 121 x 68 = 68889785712
Therefore, the lowest common multiple of 284,634,372,363,816 is 68889785712.
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.
284 x 634 x 372 x 363 x 816 = 19840258285056
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.
284 : 1, 2, 4, 71, 142, 284
634 : 1, 2, 317, 634
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
363 : 1, 3, 11, 33, 121, 363
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,634,372,363,816, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
634:2x 317
372:2x 2x 3x 31
363:3x 11x 11
816:2x 2x 2x 2x 3x 17
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 3 = 288
Therefore, the value for common factors is 288.
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 = 19840258285056/(1x288)
LCM = 19840258285056/288
LCM = 68889785712
Thus, we can understand that the LCM of 284,634,372,363,816 is 68889785712.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 284, 634, 372, 363, 816
1. What is the LCM of 284, 634, 372, 363, 816?
Answer: LCM of 284, 634, 372, 363, 816 is 68889785712.
2. How to calculate the LCM of 284, 634, 372, 363, 816?
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 284, 634, 372, 363, 816.
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}.