Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 247/57, 294/2948 quickly i.e. 72618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 247/57, 294/2948 is 72618.
LCM(247/57, 294/2948) = 72618
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 247/57,294/2948
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 247,294
Least Common Multiple of Numerators i.e. LCM of 247,294 is 72618.
GCF of Denominators means GCF of 57,2948 as per the given fractions.
GCF of 57,2948 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 247,294
Given numbers has no common factors except 1. So, there LCM is their product i.e 72618
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 247,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,294) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(247,294) x common factors =1 x 1 = 1
LCM(247,294) = ( 247 × 294 ) / 1
LCM(247,294) = 72618 / 1
LCM(247,294) = 72618
Lets's calculate GCF of 57,2948
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72618/1
Therefore the LCM of Fractions 247/57,294/2948 is 72618
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 2948
List of positive integer factors of 2948 that divides 2948 without a remainder.
1,2,4,11,22,44,67,134,268,737,1474,2948
Greatest Common Factor
We found the factors 57,2948 . The biggest common factor number is the GCF number.
So the greatest common factor 57,2948 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 247/57, 294/2948?
Answer: LCM of Numerators as per given numbers 247/57, 294/2948 is
LCM of Numerators i.e. for 247,294 is 72618
GCF of denominators i.e. for 57,2948 is 1.
Thus, LCM of Fractions is 72618.Finally, LCM of Fractions for 247/57, 294/2948 is 72618.