Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/747, 971/569, 191/434 quickly i.e. 7047518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/747, 971/569, 191/434 is 7047518.
LCM(38/747, 971/569, 191/434) = 7047518
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/747,971/569,191/434
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 38,971,191
Least Common Multiple of Numerators i.e. LCM of 38,971,191 is 7047518.
GCF of Denominators means GCF of 747,569,434 as per the given fractions.
GCF of 747,569,434 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,971,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 7047518
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 38,971,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,971,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,971,191) x common factors =1 x 1 = 1
LCM(38,971,191) = ( 38 × 971 × 191 ) / 1
LCM(38,971,191) = 7047518 / 1
LCM(38,971,191) = 7047518
Lets's calculate GCF of 747,569,434
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7047518/1
Therefore the LCM of Fractions 38/747,971/569,191/434 is 7047518
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 747,569,434 . The biggest common factor number is the GCF number.
So the greatest common factor 747,569,434 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 38/747, 971/569, 191/434?
Answer: LCM of Numerators as per given numbers 38/747, 971/569, 191/434 is
LCM of Numerators i.e. for 38,971,191 is 7047518
GCF of denominators i.e. for 747,569,434 is 1.
Thus, LCM of Fractions is 7047518.Finally, LCM of Fractions for 38/747, 971/569, 191/434 is 7047518.