Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/58, 47/26, 92/55, 50/891 quickly i.e. 2918700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/58, 47/26, 92/55, 50/891 is 2918700.
LCM(54/58, 47/26, 92/55, 50/891) = 2918700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/58,47/26,92/55,50/891
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 54,47,92,50
Least Common Multiple of Numerators i.e. LCM of 54,47,92,50 is 2918700.
GCF of Denominators means GCF of 58,26,55,891 as per the given fractions.
GCF of 58,26,55,891 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,47,92,50
2 | 54, 47, 92, 50 |
27, 47, 46, 25 |
∴ So the LCM of the given numbers is 2 x 27 x 47 x 46 x 25 = 2918700
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 54,47,92,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,47,92,50) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(54,47,92,50) x common factors =1 x 4 = 4
LCM(54,47,92,50) = ( 54 × 47 × 92 × 50 ) / 4
LCM(54,47,92,50) = 11674800 / 4
LCM(54,47,92,50) = 2918700
Lets's calculate GCF of 58,26,55,891
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2918700/1
Therefore the LCM of Fractions 54/58,47/26,92/55,50/891 is 2918700
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 58,26,55,891 . The biggest common factor number is the GCF number.
So the greatest common factor 58,26,55,891 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 54/58, 47/26, 92/55, 50/891?
Answer: LCM of Numerators as per given numbers 54/58, 47/26, 92/55, 50/891 is
LCM of Numerators i.e. for 54,47,92,50 is 2918700
GCF of denominators i.e. for 58,26,55,891 is 1.
Thus, LCM of Fractions is 2918700.Finally, LCM of Fractions for 54/58, 47/26, 92/55, 50/891 is 2918700.