Find the LCM of 304, 464, 782, 884, 854 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 304, 464, 782, 884, 854. So, keep reading to learn more.
Given numbers are 304,464,782,884,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,464,782,884,854 is 19134607856.
Find LCM of 304,464,782,884,854 with Prime Factorization
2 | 304, 464, 782, 884, 854 |
2 | 152, 232, 391, 442, 427 |
2 | 76, 116, 391, 221, 427 |
2 | 38, 58, 391, 221, 427 |
17 | 19, 29, 391, 221, 427 |
19, 29, 23, 13, 427 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 19 x 29 x 23 x 13 x 427 = 19134607856
Therefore, the lowest common multiple of 304,464,782,884,854 is 19134607856.
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.
304 x 464 x 782 x 884 x 854 = 83273813389312
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
782 : 1, 2, 17, 23, 34, 46, 391, 782
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
854 : 1, 2, 7, 14, 61, 122, 427, 854
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,464,782,884,854, is 2.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
464:2x 2x 2x 2x 29
782:2x 17x 23
884:2x 2x 13x 17
854:2x 7x 61
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 2x 2x 17 = 2176
Therefore, the value for common factors is 2176.
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 = 83273813389312/(2x2176)
LCM = 83273813389312/4352
LCM = 19134607856
Thus, we can understand that the LCM of 304,464,782,884,854 is 19134607856.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 304, 464, 782, 884, 854?
Answer: LCM of 304, 464, 782, 884, 854 is 19134607856.
2. How to calculate the LCM of 304, 464, 782, 884, 854?
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 304, 464, 782, 884, 854.
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}.