Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 246/191, 2860/768 quickly i.e. 351780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 246/191, 2860/768 is 351780.
LCM(246/191, 2860/768) = 351780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 246/191,2860/768
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 246,2860
Least Common Multiple of Numerators i.e. LCM of 246,2860 is 351780.
GCF of Denominators means GCF of 191,768 as per the given fractions.
GCF of 191,768 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 246,2860
2 | 246, 2860 |
123, 1430 |
∴ So the LCM of the given numbers is 2 x 123 x 1430 = 351780
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 246,2860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,2860) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(246,2860) x common factors =2 x 1 = 2
LCM(246,2860) = ( 246 × 2860 ) / 2
LCM(246,2860) = 703560 / 2
LCM(246,2860) = 351780
Lets's calculate GCF of 191,768
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 351780/1
Therefore the LCM of Fractions 246/191,2860/768 is 351780
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 191,768 . The biggest common factor number is the GCF number.
So the greatest common factor 191,768 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 246/191, 2860/768?
Answer: LCM of Numerators as per given numbers 246/191, 2860/768 is
LCM of Numerators i.e. for 246,2860 is 351780
GCF of denominators i.e. for 191,768 is 1.
Thus, LCM of Fractions is 351780.Finally, LCM of Fractions for 246/191, 2860/768 is 351780.