Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/95, 50/44, 88/91, 55/939 quickly i.e. 182600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/95, 50/44, 88/91, 55/939 is 182600.
LCM(83/95, 50/44, 88/91, 55/939) = 182600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/95,50/44,88/91,55/939
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 83,50,88,55
Least Common Multiple of Numerators i.e. LCM of 83,50,88,55 is 182600.
GCF of Denominators means GCF of 95,44,91,939 as per the given fractions.
GCF of 95,44,91,939 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,50,88,55
2 | 83, 50, 88, 55 |
5 | 83, 25, 44, 55 |
11 | 83, 5, 44, 11 |
83, 5, 4, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 83 x 5 x 4 x 1 = 182600
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 83,50,88,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,50,88,55) = 1
common factors(in case of two or more numbers have common factors) = 110
GCF(83,50,88,55) x common factors =1 x 110 = 110
LCM(83,50,88,55) = ( 83 × 50 × 88 × 55 ) / 110
LCM(83,50,88,55) = 20086000 / 110
LCM(83,50,88,55) = 182600
Lets's calculate GCF of 95,44,91,939
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182600/1
Therefore the LCM of Fractions 83/95,50/44,88/91,55/939 is 182600
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Greatest Common Factor
We found the factors 95,44,91,939 . The biggest common factor number is the GCF number.
So the greatest common factor 95,44,91,939 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 83/95, 50/44, 88/91, 55/939?
Answer: LCM of Numerators as per given numbers 83/95, 50/44, 88/91, 55/939 is
LCM of Numerators i.e. for 83,50,88,55 is 182600
GCF of denominators i.e. for 95,44,91,939 is 1.
Thus, LCM of Fractions is 182600.Finally, LCM of Fractions for 83/95, 50/44, 88/91, 55/939 is 182600.