LCM of 455, 842, 388, 400, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 455, 842, 388, 400, 848 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 455, 842, 388, 400, 848. So, keep reading to learn more.
Given numbers are 455,842,388,400,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 455,842,388,400,848 is 78782740400.
Find LCM of 455,842,388,400,848 with Prime Factorization
| 2 | 455, 842, 388, 400, 848 |
| 2 | 455, 421, 194, 200, 424 |
| 2 | 455, 421, 97, 100, 212 |
| 2 | 455, 421, 97, 50, 106 |
| 5 | 455, 421, 97, 25, 53 |
| 91, 421, 97, 5, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 91 x 421 x 97 x 5 x 53 = 78782740400
Therefore, the lowest common multiple of 455,842,388,400,848 is 78782740400.
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.
455 x 842 x 388 x 400 x 848 = 50420953856000
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.
455 : 1, 5, 7, 13, 35, 65, 91, 455
842 : 1, 2, 421, 842
388 : 1, 2, 4, 97, 194, 388
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,842,388,400,848, is 1.
Now, the common factors can be found like this.
455:5x 7x 13
842:2x 421
388:2x 2x 97
400:2x 2x 2x 2x 5x 5
848:2x 2x 2x 2x 53
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 5 = 640
Therefore, the value for common factors is 640.
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 = 50420953856000/(1x640)
LCM = 50420953856000/640
LCM = 78782740400
Thus, we can understand that the LCM of 455,842,388,400,848 is 78782740400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 455, 842, 388, 400, 848
1. What is the LCM of 455, 842, 388, 400, 848?
Answer: LCM of 455, 842, 388, 400, 848 is 78782740400.
2. How to calculate the LCM of 455, 842, 388, 400, 848?
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 455, 842, 388, 400, 848.
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}.