Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 115/97, 884/557 quickly i.e. 101660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 115/97, 884/557 is 101660.
LCM(115/97, 884/557) = 101660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 115/97,884/557
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 115,884
Least Common Multiple of Numerators i.e. LCM of 115,884 is 101660.
GCF of Denominators means GCF of 97,557 as per the given fractions.
GCF of 97,557 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 115,884
Given numbers has no common factors except 1. So, there LCM is their product i.e 101660
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 115,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,884) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,884) x common factors =1 x 1 = 1
LCM(115,884) = ( 115 × 884 ) / 1
LCM(115,884) = 101660 / 1
LCM(115,884) = 101660
Lets's calculate GCF of 97,557
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101660/1
Therefore the LCM of Fractions 115/97,884/557 is 101660
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Greatest Common Factor
We found the factors 97,557 . The biggest common factor number is the GCF number.
So the greatest common factor 97,557 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 115/97, 884/557?
Answer: LCM of Numerators as per given numbers 115/97, 884/557 is
LCM of Numerators i.e. for 115,884 is 101660
GCF of denominators i.e. for 97,557 is 1.
Thus, LCM of Fractions is 101660.Finally, LCM of Fractions for 115/97, 884/557 is 101660.