Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 314/91, 859/2532 quickly i.e. 269726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 314/91, 859/2532 is 269726.
LCM(314/91, 859/2532) = 269726
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 314/91,859/2532
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 314,859
Least Common Multiple of Numerators i.e. LCM of 314,859 is 269726.
GCF of Denominators means GCF of 91,2532 as per the given fractions.
GCF of 91,2532 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 314,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 269726
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 314,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(314,859) x common factors =1 x 1 = 1
LCM(314,859) = ( 314 × 859 ) / 1
LCM(314,859) = 269726 / 1
LCM(314,859) = 269726
Lets's calculate GCF of 91,2532
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269726/1
Therefore the LCM of Fractions 314/91,859/2532 is 269726
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 2532
List of positive integer factors of 2532 that divides 2532 without a remainder.
1,2,3,4,6,12,211,422,633,844,1266,2532
Greatest Common Factor
We found the factors 91,2532 . The biggest common factor number is the GCF number.
So the greatest common factor 91,2532 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 314/91, 859/2532?
Answer: LCM of Numerators as per given numbers 314/91, 859/2532 is
LCM of Numerators i.e. for 314,859 is 269726
GCF of denominators i.e. for 91,2532 is 1.
Thus, LCM of Fractions is 269726.Finally, LCM of Fractions for 314/91, 859/2532 is 269726.