Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 611/722, 7343/2297 quickly i.e. 4486573 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 611/722, 7343/2297 is 4486573.
LCM(611/722, 7343/2297) = 4486573
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 611/722,7343/2297
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 611,7343
Least Common Multiple of Numerators i.e. LCM of 611,7343 is 4486573.
GCF of Denominators means GCF of 722,2297 as per the given fractions.
GCF of 722,2297 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 611,7343
Given numbers has no common factors except 1. So, there LCM is their product i.e 4486573
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 611,7343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,7343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,7343) x common factors =1 x 1 = 1
LCM(611,7343) = ( 611 × 7343 ) / 1
LCM(611,7343) = 4486573 / 1
LCM(611,7343) = 4486573
Lets's calculate GCF of 722,2297
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4486573/1
Therefore the LCM of Fractions 611/722,7343/2297 is 4486573
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Factors of 2297
List of positive integer factors of 2297 that divides 2297 without a remainder.
1,2297
Greatest Common Factor
We found the factors 722,2297 . The biggest common factor number is the GCF number.
So the greatest common factor 722,2297 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 611/722, 7343/2297?
Answer: LCM of Numerators as per given numbers 611/722, 7343/2297 is
LCM of Numerators i.e. for 611,7343 is 4486573
GCF of denominators i.e. for 722,2297 is 1.
Thus, LCM of Fractions is 4486573.Finally, LCM of Fractions for 611/722, 7343/2297 is 4486573.