Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 175/91, 641/1061 quickly i.e. 112175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 175/91, 641/1061 is 112175.
LCM(175/91, 641/1061) = 112175
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 175/91,641/1061
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 175,641
Least Common Multiple of Numerators i.e. LCM of 175,641 is 112175.
GCF of Denominators means GCF of 91,1061 as per the given fractions.
GCF of 91,1061 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 175,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 112175
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 175,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,641) x common factors =1 x 1 = 1
LCM(175,641) = ( 175 × 641 ) / 1
LCM(175,641) = 112175 / 1
LCM(175,641) = 112175
Lets's calculate GCF of 91,1061
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112175/1
Therefore the LCM of Fractions 175/91,641/1061 is 112175
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 1061
List of positive integer factors of 1061 that divides 1061 without a remainder.
1,1061
Greatest Common Factor
We found the factors 91,1061 . The biggest common factor number is the GCF number.
So the greatest common factor 91,1061 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 175/91, 641/1061?
Answer: LCM of Numerators as per given numbers 175/91, 641/1061 is
LCM of Numerators i.e. for 175,641 is 112175
GCF of denominators i.e. for 91,1061 is 1.
Thus, LCM of Fractions is 112175.Finally, LCM of Fractions for 175/91, 641/1061 is 112175.