Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/73, 43/83, 52/86, 60/191 quickly i.e. 3253380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/73, 43/83, 52/86, 60/191 is 3253380.
LCM(97/73, 43/83, 52/86, 60/191) = 3253380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/73,43/83,52/86,60/191
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 97,43,52,60
Least Common Multiple of Numerators i.e. LCM of 97,43,52,60 is 3253380.
GCF of Denominators means GCF of 73,83,86,191 as per the given fractions.
GCF of 73,83,86,191 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,43,52,60
2 | 97, 43, 52, 60 |
2 | 97, 43, 26, 30 |
97, 43, 13, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 97 x 43 x 13 x 15 = 3253380
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 97,43,52,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,43,52,60) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(97,43,52,60) x common factors =1 x 4 = 4
LCM(97,43,52,60) = ( 97 × 43 × 52 × 60 ) / 4
LCM(97,43,52,60) = 13013520 / 4
LCM(97,43,52,60) = 3253380
Lets's calculate GCF of 73,83,86,191
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3253380/1
Therefore the LCM of Fractions 97/73,43/83,52/86,60/191 is 3253380
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Greatest Common Factor
We found the factors 73,83,86,191 . The biggest common factor number is the GCF number.
So the greatest common factor 73,83,86,191 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 97/73, 43/83, 52/86, 60/191?
Answer: LCM of Numerators as per given numbers 97/73, 43/83, 52/86, 60/191 is
LCM of Numerators i.e. for 97,43,52,60 is 3253380
GCF of denominators i.e. for 73,83,86,191 is 1.
Thus, LCM of Fractions is 3253380.Finally, LCM of Fractions for 97/73, 43/83, 52/86, 60/191 is 3253380.