Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 278/392, 2331/615 quickly i.e. 648018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 278/392, 2331/615 is 648018.
LCM(278/392, 2331/615) = 648018
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 278/392,2331/615
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 278,2331
Least Common Multiple of Numerators i.e. LCM of 278,2331 is 648018.
GCF of Denominators means GCF of 392,615 as per the given fractions.
GCF of 392,615 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 278,2331
Given numbers has no common factors except 1. So, there LCM is their product i.e 648018
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 278,2331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,2331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,2331) x common factors =1 x 1 = 1
LCM(278,2331) = ( 278 × 2331 ) / 1
LCM(278,2331) = 648018 / 1
LCM(278,2331) = 648018
Lets's calculate GCF of 392,615
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 648018/1
Therefore the LCM of Fractions 278/392,2331/615 is 648018
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 392,615 . The biggest common factor number is the GCF number.
So the greatest common factor 392,615 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 278/392, 2331/615?
Answer: LCM of Numerators as per given numbers 278/392, 2331/615 is
LCM of Numerators i.e. for 278,2331 is 648018
GCF of denominators i.e. for 392,615 is 1.
Thus, LCM of Fractions is 648018.Finally, LCM of Fractions for 278/392, 2331/615 is 648018.