Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 866/184, 7831/4708 quickly i.e. 6781646/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 866/184, 7831/4708 is 6781646/4.
LCM(866/184, 7831/4708) = 6781646/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 866/184,7831/4708
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 866,7831
Least Common Multiple of Numerators i.e. LCM of 866,7831 is 6781646.
GCF of Denominators means GCF of 184,4708 as per the given fractions.
GCF of 184,4708 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 866,7831
Given numbers has no common factors except 1. So, there LCM is their product i.e 6781646
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 866,7831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,7831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(866,7831) x common factors =1 x 1 = 1
LCM(866,7831) = ( 866 × 7831 ) / 1
LCM(866,7831) = 6781646 / 1
LCM(866,7831) = 6781646
Lets's calculate GCF of 184,4708
2 | 184, 4708 |
2 | 92, 2354 |
46, 1177 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6781646/4
Therefore the LCM of Fractions 866/184,7831/4708 is 6781646/4
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 4708
List of positive integer factors of 4708 that divides 4708 without a remainder.
1,2,4,11,22,44,107,214,428,1177,2354,4708
Greatest Common Factor
We found the factors 184,4708 . The biggest common factor number is the GCF number.
So the greatest common factor 184,4708 is 4.
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 866/184, 7831/4708?
Answer: LCM of Numerators as per given numbers 866/184, 7831/4708 is
LCM of Numerators i.e. for 866,7831 is 6781646
GCF of denominators i.e. for 184,4708 is 4.
Thus, LCM of Fractions is 6781646/4.Finally, LCM of Fractions for 866/184, 7831/4708 is 6781646/4.