Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 426/11, 191/3674 quickly i.e. 81366/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 426/11, 191/3674 is 81366/11.
LCM(426/11, 191/3674) = 81366/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 426/11,191/3674
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 426,191
Least Common Multiple of Numerators i.e. LCM of 426,191 is 81366.
GCF of Denominators means GCF of 11,3674 as per the given fractions.
GCF of 11,3674 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 426,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 81366
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 426,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(426,191) x common factors =1 x 1 = 1
LCM(426,191) = ( 426 × 191 ) / 1
LCM(426,191) = 81366 / 1
LCM(426,191) = 81366
Lets's calculate GCF of 11,3674
11 | 11, 3674 |
1, 334 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81366/11
Therefore the LCM of Fractions 426/11,191/3674 is 81366/11
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 3674
List of positive integer factors of 3674 that divides 3674 without a remainder.
1,2,11,22,167,334,1837,3674
Greatest Common Factor
We found the factors 11,3674 . The biggest common factor number is the GCF number.
So the greatest common factor 11,3674 is 11.
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 426/11, 191/3674?
Answer: LCM of Numerators as per given numbers 426/11, 191/3674 is
LCM of Numerators i.e. for 426,191 is 81366
GCF of denominators i.e. for 11,3674 is 11.
Thus, LCM of Fractions is 81366/11.Finally, LCM of Fractions for 426/11, 191/3674 is 81366/11.