Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 304/44, 117/2525 quickly i.e. 35568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 304/44, 117/2525 is 35568.
LCM(304/44, 117/2525) = 35568
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 304/44,117/2525
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 304,117
Least Common Multiple of Numerators i.e. LCM of 304,117 is 35568.
GCF of Denominators means GCF of 44,2525 as per the given fractions.
GCF of 44,2525 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 304,117
Given numbers has no common factors except 1. So, there LCM is their product i.e 35568
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 304,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,117) x common factors =1 x 1 = 1
LCM(304,117) = ( 304 × 117 ) / 1
LCM(304,117) = 35568 / 1
LCM(304,117) = 35568
Lets's calculate GCF of 44,2525
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35568/1
Therefore the LCM of Fractions 304/44,117/2525 is 35568
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 2525
List of positive integer factors of 2525 that divides 2525 without a remainder.
1,5,25,101,505,2525
Greatest Common Factor
We found the factors 44,2525 . The biggest common factor number is the GCF number.
So the greatest common factor 44,2525 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 304/44, 117/2525?
Answer: LCM of Numerators as per given numbers 304/44, 117/2525 is
LCM of Numerators i.e. for 304,117 is 35568
GCF of denominators i.e. for 44,2525 is 1.
Thus, LCM of Fractions is 35568.Finally, LCM of Fractions for 304/44, 117/2525 is 35568.