Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 123/50, 191/49, 764/886 quickly i.e. 93972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 123/50, 191/49, 764/886 is 93972.
LCM(123/50, 191/49, 764/886) = 93972
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 123/50,191/49,764/886
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 123,191,764
Least Common Multiple of Numerators i.e. LCM of 123,191,764 is 93972.
GCF of Denominators means GCF of 50,49,886 as per the given fractions.
GCF of 50,49,886 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 123,191,764
191 | 123, 191, 764 |
123, 1, 4 |
∴ So the LCM of the given numbers is 191 x 123 x 1 x 4 = 93972
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 123,191,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,191,764) = 1
common factors(in case of two or more numbers have common factors) = 191
GCF(123,191,764) x common factors =1 x 191 = 191
LCM(123,191,764) = ( 123 × 191 × 764 ) / 191
LCM(123,191,764) = 17948652 / 191
LCM(123,191,764) = 93972
Lets's calculate GCF of 50,49,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93972/1
Therefore the LCM of Fractions 123/50,191/49,764/886 is 93972
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Greatest Common Factor
We found the factors 50,49,886 . The biggest common factor number is the GCF number.
So the greatest common factor 50,49,886 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 123/50, 191/49, 764/886?
Answer: LCM of Numerators as per given numbers 123/50, 191/49, 764/886 is
LCM of Numerators i.e. for 123,191,764 is 93972
GCF of denominators i.e. for 50,49,886 is 1.
Thus, LCM of Fractions is 93972.Finally, LCM of Fractions for 123/50, 191/49, 764/886 is 93972.