Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/378, 47/231, 665/118 quickly i.e. 1500240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/378, 47/231, 665/118 is 1500240.
LCM(48/378, 47/231, 665/118) = 1500240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/378,47/231,665/118
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 48,47,665
Least Common Multiple of Numerators i.e. LCM of 48,47,665 is 1500240.
GCF of Denominators means GCF of 378,231,118 as per the given fractions.
GCF of 378,231,118 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,47,665
Given numbers has no common factors except 1. So, there LCM is their product i.e 1500240
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 48,47,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,47,665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(48,47,665) x common factors =1 x 1 = 1
LCM(48,47,665) = ( 48 × 47 × 665 ) / 1
LCM(48,47,665) = 1500240 / 1
LCM(48,47,665) = 1500240
Lets's calculate GCF of 378,231,118
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1500240/1
Therefore the LCM of Fractions 48/378,47/231,665/118 is 1500240
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Greatest Common Factor
We found the factors 378,231,118 . The biggest common factor number is the GCF number.
So the greatest common factor 378,231,118 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 48/378, 47/231, 665/118?
Answer: LCM of Numerators as per given numbers 48/378, 47/231, 665/118 is
LCM of Numerators i.e. for 48,47,665 is 1500240
GCF of denominators i.e. for 378,231,118 is 1.
Thus, LCM of Fractions is 1500240.Finally, LCM of Fractions for 48/378, 47/231, 665/118 is 1500240.