Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 326/263, 2308/3723 quickly i.e. 376204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 326/263, 2308/3723 is 376204.
LCM(326/263, 2308/3723) = 376204
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 326/263,2308/3723
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 326,2308
Least Common Multiple of Numerators i.e. LCM of 326,2308 is 376204.
GCF of Denominators means GCF of 263,3723 as per the given fractions.
GCF of 263,3723 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 326,2308
2 | 326, 2308 |
163, 1154 |
∴ So the LCM of the given numbers is 2 x 163 x 1154 = 376204
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 326,2308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,2308) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,2308) x common factors =2 x 1 = 2
LCM(326,2308) = ( 326 × 2308 ) / 2
LCM(326,2308) = 752408 / 2
LCM(326,2308) = 376204
Lets's calculate GCF of 263,3723
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376204/1
Therefore the LCM of Fractions 326/263,2308/3723 is 376204
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Factors of 3723
List of positive integer factors of 3723 that divides 3723 without a remainder.
1,3,17,51,73,219,1241,3723
Greatest Common Factor
We found the factors 263,3723 . The biggest common factor number is the GCF number.
So the greatest common factor 263,3723 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 326/263, 2308/3723?
Answer: LCM of Numerators as per given numbers 326/263, 2308/3723 is
LCM of Numerators i.e. for 326,2308 is 376204
GCF of denominators i.e. for 263,3723 is 1.
Thus, LCM of Fractions is 376204.Finally, LCM of Fractions for 326/263, 2308/3723 is 376204.