Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 587/27, 175/3157 quickly i.e. 102725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 587/27, 175/3157 is 102725.
LCM(587/27, 175/3157) = 102725
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 587/27,175/3157
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 587,175
Least Common Multiple of Numerators i.e. LCM of 587,175 is 102725.
GCF of Denominators means GCF of 27,3157 as per the given fractions.
GCF of 27,3157 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 587,175
Given numbers has no common factors except 1. So, there LCM is their product i.e 102725
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 587,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,175) x common factors =1 x 1 = 1
LCM(587,175) = ( 587 × 175 ) / 1
LCM(587,175) = 102725 / 1
LCM(587,175) = 102725
Lets's calculate GCF of 27,3157
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102725/1
Therefore the LCM of Fractions 587/27,175/3157 is 102725
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 3157
List of positive integer factors of 3157 that divides 3157 without a remainder.
1,7,11,41,77,287,451,3157
Greatest Common Factor
We found the factors 27,3157 . The biggest common factor number is the GCF number.
So the greatest common factor 27,3157 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 587/27, 175/3157?
Answer: LCM of Numerators as per given numbers 587/27, 175/3157 is
LCM of Numerators i.e. for 587,175 is 102725
GCF of denominators i.e. for 27,3157 is 1.
Thus, LCM of Fractions is 102725.Finally, LCM of Fractions for 587/27, 175/3157 is 102725.