Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 751/50, 367/19, 667/138 quickly i.e. 183836539 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 751/50, 367/19, 667/138 is 183836539.
LCM(751/50, 367/19, 667/138) = 183836539
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 751/50,367/19,667/138
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 751,367,667
Least Common Multiple of Numerators i.e. LCM of 751,367,667 is 183836539.
GCF of Denominators means GCF of 50,19,138 as per the given fractions.
GCF of 50,19,138 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 751,367,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 183836539
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 751,367,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,367,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,367,667) x common factors =1 x 1 = 1
LCM(751,367,667) = ( 751 × 367 × 667 ) / 1
LCM(751,367,667) = 183836539 / 1
LCM(751,367,667) = 183836539
Lets's calculate GCF of 50,19,138
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183836539/1
Therefore the LCM of Fractions 751/50,367/19,667/138 is 183836539
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 50,19,138 . The biggest common factor number is the GCF number.
So the greatest common factor 50,19,138 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 751/50, 367/19, 667/138?
Answer: LCM of Numerators as per given numbers 751/50, 367/19, 667/138 is
LCM of Numerators i.e. for 751,367,667 is 183836539
GCF of denominators i.e. for 50,19,138 is 1.
Thus, LCM of Fractions is 183836539.Finally, LCM of Fractions for 751/50, 367/19, 667/138 is 183836539.