Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/252, 3163/2177 quickly i.e. 41119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/252, 3163/2177 is 41119.
LCM(91/252, 3163/2177) = 41119
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/252,3163/2177
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 91,3163
Least Common Multiple of Numerators i.e. LCM of 91,3163 is 287833.
GCF of Denominators means GCF of 252,2177 as per the given fractions.
GCF of 252,2177 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,3163
Given numbers has no common factors except 1. So, there LCM is their product i.e 287833
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 91,3163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,3163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,3163) x common factors =1 x 1 = 1
LCM(91,3163) = ( 91 × 3163 ) / 1
LCM(91,3163) = 287833 / 1
LCM(91,3163) = 287833
Lets's calculate GCF of 252,2177
7 | 252, 2177 |
36, 311 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287833/7
Therefore the LCM of Fractions 91/252,3163/2177 is 41119
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Factors of 2177
List of positive integer factors of 2177 that divides 2177 without a remainder.
1,7,311,2177
Greatest Common Factor
We found the factors 252,2177 . The biggest common factor number is the GCF number.
So the greatest common factor 252,2177 is 7.
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 91/252, 3163/2177?
Answer: LCM of Numerators as per given numbers 91/252, 3163/2177 is
LCM of Numerators i.e. for 91,3163 is 287833
GCF of denominators i.e. for 252,2177 is 7.
Thus, LCM of Fractions is 41119.Finally, LCM of Fractions for 91/252, 3163/2177 is 41119.