Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3267/843, 7306/298 quickly i.e. 23868702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3267/843, 7306/298 is 23868702.
LCM(3267/843, 7306/298) = 23868702
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3267/843,7306/298
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 3267,7306
Least Common Multiple of Numerators i.e. LCM of 3267,7306 is 23868702.
GCF of Denominators means GCF of 843,298 as per the given fractions.
GCF of 843,298 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3267,7306
Given numbers has no common factors except 1. So, there LCM is their product i.e 23868702
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 3267,7306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3267,7306) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3267,7306) x common factors =1 x 1 = 1
LCM(3267,7306) = ( 3267 × 7306 ) / 1
LCM(3267,7306) = 23868702 / 1
LCM(3267,7306) = 23868702
Lets's calculate GCF of 843,298
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23868702/1
Therefore the LCM of Fractions 3267/843,7306/298 is 23868702
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Greatest Common Factor
We found the factors 843,298 . The biggest common factor number is the GCF number.
So the greatest common factor 843,298 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 3267/843, 7306/298?
Answer: LCM of Numerators as per given numbers 3267/843, 7306/298 is
LCM of Numerators i.e. for 3267,7306 is 23868702
GCF of denominators i.e. for 843,298 is 1.
Thus, LCM of Fractions is 23868702.Finally, LCM of Fractions for 3267/843, 7306/298 is 23868702.