Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7978/94, 4835/253 quickly i.e. 38573630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7978/94, 4835/253 is 38573630.
LCM(7978/94, 4835/253) = 38573630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7978/94,4835/253
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 7978,4835
Least Common Multiple of Numerators i.e. LCM of 7978,4835 is 38573630.
GCF of Denominators means GCF of 94,253 as per the given fractions.
GCF of 94,253 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7978,4835
Given numbers has no common factors except 1. So, there LCM is their product i.e 38573630
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 7978,4835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7978,4835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7978,4835) x common factors =1 x 1 = 1
LCM(7978,4835) = ( 7978 × 4835 ) / 1
LCM(7978,4835) = 38573630 / 1
LCM(7978,4835) = 38573630
Lets's calculate GCF of 94,253
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38573630/1
Therefore the LCM of Fractions 7978/94,4835/253 is 38573630
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Greatest Common Factor
We found the factors 94,253 . The biggest common factor number is the GCF number.
So the greatest common factor 94,253 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 7978/94, 4835/253?
Answer: LCM of Numerators as per given numbers 7978/94, 4835/253 is
LCM of Numerators i.e. for 7978,4835 is 38573630
GCF of denominators i.e. for 94,253 is 1.
Thus, LCM of Fractions is 38573630.Finally, LCM of Fractions for 7978/94, 4835/253 is 38573630.