Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/291, 7523/5523 quickly i.e. 188075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/291, 7523/5523 is 188075.
LCM(75/291, 7523/5523) = 188075
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/291,7523/5523
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 75,7523
Least Common Multiple of Numerators i.e. LCM of 75,7523 is 564225.
GCF of Denominators means GCF of 291,5523 as per the given fractions.
GCF of 291,5523 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,7523
Given numbers has no common factors except 1. So, there LCM is their product i.e 564225
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 75,7523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,7523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,7523) x common factors =1 x 1 = 1
LCM(75,7523) = ( 75 × 7523 ) / 1
LCM(75,7523) = 564225 / 1
LCM(75,7523) = 564225
Lets's calculate GCF of 291,5523
3 | 291, 5523 |
97, 1841 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 564225/3
Therefore the LCM of Fractions 75/291,7523/5523 is 188075
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 5523
List of positive integer factors of 5523 that divides 5523 without a remainder.
1,3,7,21,263,789,1841,5523
Greatest Common Factor
We found the factors 291,5523 . The biggest common factor number is the GCF number.
So the greatest common factor 291,5523 is 3.
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 75/291, 7523/5523?
Answer: LCM of Numerators as per given numbers 75/291, 7523/5523 is
LCM of Numerators i.e. for 75,7523 is 564225
GCF of denominators i.e. for 291,5523 is 3.
Thus, LCM of Fractions is 188075.Finally, LCM of Fractions for 75/291, 7523/5523 is 188075.