Find the LCM of 904, 418, 444, 855, 805 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 904, 418, 444, 855, 805. So, keep reading to learn more.
Given numbers are 904,418,444,855,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,418,444,855,805 is 50647128840.
Find LCM of 904,418,444,855,805 with Prime Factorization
2 | 904, 418, 444, 855, 805 |
2 | 452, 209, 222, 855, 805 |
3 | 226, 209, 111, 855, 805 |
5 | 226, 209, 37, 285, 805 |
19 | 226, 209, 37, 57, 161 |
226, 11, 37, 3, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 226 x 11 x 37 x 3 x 161 = 50647128840
Therefore, the lowest common multiple of 904,418,444,855,805 is 50647128840.
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.
904 x 418 x 444 x 855 x 805 = 115475453755200
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
418 : 1, 2, 11, 19, 22, 38, 209, 418
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,418,444,855,805, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
418:2x 11x 19
444:2x 2x 3x 37
855:3x 3x 5x 19
805:5x 7x 23
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 3x 5x 19 = 2280
Therefore, the value for common factors is 2280.
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 = 115475453755200/(1x2280)
LCM = 115475453755200/2280
LCM = 50647128840
Thus, we can understand that the LCM of 904,418,444,855,805 is 50647128840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 904, 418, 444, 855, 805?
Answer: LCM of 904, 418, 444, 855, 805 is 50647128840.
2. How to calculate the LCM of 904, 418, 444, 855, 805?
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 904, 418, 444, 855, 805.
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}.