Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 844/44, 386/2585 quickly i.e. 162892/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 844/44, 386/2585 is 162892/11.
LCM(844/44, 386/2585) = 162892/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 844/44,386/2585
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 844,386
Least Common Multiple of Numerators i.e. LCM of 844,386 is 162892.
GCF of Denominators means GCF of 44,2585 as per the given fractions.
GCF of 44,2585 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 844,386
2 | 844, 386 |
422, 193 |
∴ So the LCM of the given numbers is 2 x 422 x 193 = 162892
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 844,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,386) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(844,386) x common factors =2 x 1 = 2
LCM(844,386) = ( 844 × 386 ) / 2
LCM(844,386) = 325784 / 2
LCM(844,386) = 162892
Lets's calculate GCF of 44,2585
11 | 44, 2585 |
4, 235 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162892/11
Therefore the LCM of Fractions 844/44,386/2585 is 162892/11
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 2585
List of positive integer factors of 2585 that divides 2585 without a remainder.
1,5,11,47,55,235,517,2585
Greatest Common Factor
We found the factors 44,2585 . The biggest common factor number is the GCF number.
So the greatest common factor 44,2585 is 11.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 844/44, 386/2585?
Answer: LCM of Numerators as per given numbers 844/44, 386/2585 is
LCM of Numerators i.e. for 844,386 is 162892
GCF of denominators i.e. for 44,2585 is 11.
Thus, LCM of Fractions is 162892/11.Finally, LCM of Fractions for 844/44, 386/2585 is 162892/11.