Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 737/47, 676/8768 quickly i.e. 498212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 737/47, 676/8768 is 498212.
LCM(737/47, 676/8768) = 498212
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 737/47,676/8768
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 737,676
Least Common Multiple of Numerators i.e. LCM of 737,676 is 498212.
GCF of Denominators means GCF of 47,8768 as per the given fractions.
GCF of 47,8768 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 737,676
Given numbers has no common factors except 1. So, there LCM is their product i.e 498212
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 737,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,676) x common factors =1 x 1 = 1
LCM(737,676) = ( 737 × 676 ) / 1
LCM(737,676) = 498212 / 1
LCM(737,676) = 498212
Lets's calculate GCF of 47,8768
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 498212/1
Therefore the LCM of Fractions 737/47,676/8768 is 498212
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 8768
List of positive integer factors of 8768 that divides 8768 without a remainder.
1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768
Greatest Common Factor
We found the factors 47,8768 . The biggest common factor number is the GCF number.
So the greatest common factor 47,8768 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 737/47, 676/8768?
Answer: LCM of Numerators as per given numbers 737/47, 676/8768 is
LCM of Numerators i.e. for 737,676 is 498212
GCF of denominators i.e. for 47,8768 is 1.
Thus, LCM of Fractions is 498212.Finally, LCM of Fractions for 737/47, 676/8768 is 498212.