LCM of 422, 405, 845, 906, 853
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 405, 845, 906, 853 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 422, 405, 845, 906, 853. So, keep reading to learn more.
Given numbers are 422,405,845,906,853
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,405,845,906,853 is 3720318803370.
Find LCM of 422,405,845,906,853 with Prime Factorization
| 2 | 422, 405, 845, 906, 853 |
| 3 | 211, 405, 845, 453, 853 |
| 5 | 211, 135, 845, 151, 853 |
| 211, 27, 169, 151, 853 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 211 x 27 x 169 x 151 x 853 = 3720318803370
Therefore, the lowest common multiple of 422,405,845,906,853 is 3720318803370.
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.
422 x 405 x 845 x 906 x 853 = 111609564101100
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.
422 : 1, 2, 211, 422
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
845 : 1, 5, 13, 65, 169, 845
906 : 1, 2, 3, 6, 151, 302, 453, 906
853 : 1, 853
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,405,845,906,853, is 1.
Now, the common factors can be found like this.
422:2x 211
405:3x 3x 3x 3x 5
845:5x 13x 13
906:2x 3x 151
853:853
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 111609564101100/(1x30)
LCM = 111609564101100/30
LCM = 3720318803370
Thus, we can understand that the LCM of 422,405,845,906,853 is 3720318803370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 422, 405, 845, 906, 853
1. What is the LCM of 422, 405, 845, 906, 853?
Answer: LCM of 422, 405, 845, 906, 853 is 3720318803370.
2. How to calculate the LCM of 422, 405, 845, 906, 853?
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 422, 405, 845, 906, 853.
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}.