Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/298, 2135/6089 quickly i.e. 98210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/298, 2135/6089 is 98210.
LCM(46/298, 2135/6089) = 98210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/298,2135/6089
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 46,2135
Least Common Multiple of Numerators i.e. LCM of 46,2135 is 98210.
GCF of Denominators means GCF of 298,6089 as per the given fractions.
GCF of 298,6089 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,2135
Given numbers has no common factors except 1. So, there LCM is their product i.e 98210
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 46,2135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,2135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,2135) x common factors =1 x 1 = 1
LCM(46,2135) = ( 46 × 2135 ) / 1
LCM(46,2135) = 98210 / 1
LCM(46,2135) = 98210
Lets's calculate GCF of 298,6089
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98210/1
Therefore the LCM of Fractions 46/298,2135/6089 is 98210
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Factors of 6089
List of positive integer factors of 6089 that divides 6089 without a remainder.
1,6089
Greatest Common Factor
We found the factors 298,6089 . The biggest common factor number is the GCF number.
So the greatest common factor 298,6089 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 46/298, 2135/6089?
Answer: LCM of Numerators as per given numbers 46/298, 2135/6089 is
LCM of Numerators i.e. for 46,2135 is 98210
GCF of denominators i.e. for 298,6089 is 1.
Thus, LCM of Fractions is 98210.Finally, LCM of Fractions for 46/298, 2135/6089 is 98210.