Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7345/311, 5189/326 quickly i.e. 38113205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7345/311, 5189/326 is 38113205.
LCM(7345/311, 5189/326) = 38113205
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7345/311,5189/326
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 7345,5189
Least Common Multiple of Numerators i.e. LCM of 7345,5189 is 38113205.
GCF of Denominators means GCF of 311,326 as per the given fractions.
GCF of 311,326 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7345,5189
Given numbers has no common factors except 1. So, there LCM is their product i.e 38113205
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 7345,5189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7345,5189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7345,5189) x common factors =1 x 1 = 1
LCM(7345,5189) = ( 7345 × 5189 ) / 1
LCM(7345,5189) = 38113205 / 1
LCM(7345,5189) = 38113205
Lets's calculate GCF of 311,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38113205/1
Therefore the LCM of Fractions 7345/311,5189/326 is 38113205
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 311,326 . The biggest common factor number is the GCF number.
So the greatest common factor 311,326 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 7345/311, 5189/326?
Answer: LCM of Numerators as per given numbers 7345/311, 5189/326 is
LCM of Numerators i.e. for 7345,5189 is 38113205
GCF of denominators i.e. for 311,326 is 1.
Thus, LCM of Fractions is 38113205.Finally, LCM of Fractions for 7345/311, 5189/326 is 38113205.