Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/397, 4749/4763 quickly i.e. 446406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/397, 4749/4763 is 446406.
LCM(94/397, 4749/4763) = 446406
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/397,4749/4763
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 94,4749
Least Common Multiple of Numerators i.e. LCM of 94,4749 is 446406.
GCF of Denominators means GCF of 397,4763 as per the given fractions.
GCF of 397,4763 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,4749
Given numbers has no common factors except 1. So, there LCM is their product i.e 446406
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 94,4749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,4749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,4749) x common factors =1 x 1 = 1
LCM(94,4749) = ( 94 × 4749 ) / 1
LCM(94,4749) = 446406 / 1
LCM(94,4749) = 446406
Lets's calculate GCF of 397,4763
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 446406/1
Therefore the LCM of Fractions 94/397,4749/4763 is 446406
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 4763
List of positive integer factors of 4763 that divides 4763 without a remainder.
1,11,433,4763
Greatest Common Factor
We found the factors 397,4763 . The biggest common factor number is the GCF number.
So the greatest common factor 397,4763 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 94/397, 4749/4763?
Answer: LCM of Numerators as per given numbers 94/397, 4749/4763 is
LCM of Numerators i.e. for 94,4749 is 446406
GCF of denominators i.e. for 397,4763 is 1.
Thus, LCM of Fractions is 446406.Finally, LCM of Fractions for 94/397, 4749/4763 is 446406.