Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/66, 46/79, 41/50, 27/878 quickly i.e. 2189646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/66, 46/79, 41/50, 27/878 is 2189646.
LCM(43/66, 46/79, 41/50, 27/878) = 2189646
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/66,46/79,41/50,27/878
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 43,46,41,27
Least Common Multiple of Numerators i.e. LCM of 43,46,41,27 is 2189646.
GCF of Denominators means GCF of 66,79,50,878 as per the given fractions.
GCF of 66,79,50,878 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,46,41,27
Given numbers has no common factors except 1. So, there LCM is their product i.e 2189646
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 43,46,41,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,46,41,27) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,46,41,27) x common factors =1 x 1 = 1
LCM(43,46,41,27) = ( 43 × 46 × 41 × 27 ) / 1
LCM(43,46,41,27) = 2189646 / 1
LCM(43,46,41,27) = 2189646
Lets's calculate GCF of 66,79,50,878
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2189646/1
Therefore the LCM of Fractions 43/66,46/79,41/50,27/878 is 2189646
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Greatest Common Factor
We found the factors 66,79,50,878 . The biggest common factor number is the GCF number.
So the greatest common factor 66,79,50,878 is 1.
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 43/66, 46/79, 41/50, 27/878?
Answer: LCM of Numerators as per given numbers 43/66, 46/79, 41/50, 27/878 is
LCM of Numerators i.e. for 43,46,41,27 is 2189646
GCF of denominators i.e. for 66,79,50,878 is 1.
Thus, LCM of Fractions is 2189646.Finally, LCM of Fractions for 43/66, 46/79, 41/50, 27/878 is 2189646.