Find the LCM of 805, 448, 930, 816, 458 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 805, 448, 930, 816, 458. So, keep reading to learn more.
Given numbers are 805,448,930,816,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,448,930,816,458 is 18652764480.
Find LCM of 805,448,930,816,458 with Prime Factorization
2 | 805, 448, 930, 816, 458 |
2 | 805, 224, 465, 408, 229 |
2 | 805, 112, 465, 204, 229 |
2 | 805, 56, 465, 102, 229 |
3 | 805, 28, 465, 51, 229 |
5 | 805, 28, 155, 17, 229 |
7 | 161, 28, 31, 17, 229 |
23, 4, 31, 17, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 23 x 4 x 31 x 17 x 229 = 18652764480
Therefore, the lowest common multiple of 805,448,930,816,458 is 18652764480.
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.
805 x 448 x 930 x 816 x 458 = 125346577305600
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,448,930,816,458, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
448:2x 2x 2x 2x 2x 2x 7
930:2x 3x 5x 31
816:2x 2x 2x 2x 3x 17
458:2x 229
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 3x 5x 7 = 6720
Therefore, the value for common factors is 6720.
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 = 125346577305600/(1x6720)
LCM = 125346577305600/6720
LCM = 18652764480
Thus, we can understand that the LCM of 805,448,930,816,458 is 18652764480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 805, 448, 930, 816, 458?
Answer: LCM of 805, 448, 930, 816, 458 is 18652764480.
2. How to calculate the LCM of 805, 448, 930, 816, 458?
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 805, 448, 930, 816, 458.
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}.