Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 991/566, 9285/175 quickly i.e. 9201435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 991/566, 9285/175 is 9201435.
LCM(991/566, 9285/175) = 9201435
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 991/566,9285/175
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 991,9285
Least Common Multiple of Numerators i.e. LCM of 991,9285 is 9201435.
GCF of Denominators means GCF of 566,175 as per the given fractions.
GCF of 566,175 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 991,9285
Given numbers has no common factors except 1. So, there LCM is their product i.e 9201435
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 991,9285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,9285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,9285) x common factors =1 x 1 = 1
LCM(991,9285) = ( 991 × 9285 ) / 1
LCM(991,9285) = 9201435 / 1
LCM(991,9285) = 9201435
Lets's calculate GCF of 566,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9201435/1
Therefore the LCM of Fractions 991/566,9285/175 is 9201435
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 566,175 . The biggest common factor number is the GCF number.
So the greatest common factor 566,175 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 991/566, 9285/175?
Answer: LCM of Numerators as per given numbers 991/566, 9285/175 is
LCM of Numerators i.e. for 991,9285 is 9201435
GCF of denominators i.e. for 566,175 is 1.
Thus, LCM of Fractions is 9201435.Finally, LCM of Fractions for 991/566, 9285/175 is 9201435.