Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/91, 50/11, 42/36, 93/60 quickly i.e. 292950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/91, 50/11, 42/36, 93/60 is 292950.
LCM(54/91, 50/11, 42/36, 93/60) = 292950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/91,50/11,42/36,93/60
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 54,50,42,93
Least Common Multiple of Numerators i.e. LCM of 54,50,42,93 is 292950.
GCF of Denominators means GCF of 91,11,36,60 as per the given fractions.
GCF of 91,11,36,60 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,50,42,93
2 | 54, 50, 42, 93 |
3 | 27, 25, 21, 93 |
9, 25, 7, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 9 x 25 x 7 x 31 = 292950
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 54,50,42,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,50,42,93) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(54,50,42,93) x common factors =1 x 36 = 36
LCM(54,50,42,93) = ( 54 × 50 × 42 × 93 ) / 36
LCM(54,50,42,93) = 10546200 / 36
LCM(54,50,42,93) = 292950
Lets's calculate GCF of 91,11,36,60
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292950/1
Therefore the LCM of Fractions 54/91,50/11,42/36,93/60 is 292950
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Greatest Common Factor
We found the factors 91,11,36,60 . The biggest common factor number is the GCF number.
So the greatest common factor 91,11,36,60 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 54/91, 50/11, 42/36, 93/60?
Answer: LCM of Numerators as per given numbers 54/91, 50/11, 42/36, 93/60 is
LCM of Numerators i.e. for 54,50,42,93 is 292950
GCF of denominators i.e. for 91,11,36,60 is 1.
Thus, LCM of Fractions is 292950.Finally, LCM of Fractions for 54/91, 50/11, 42/36, 93/60 is 292950.