Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 562/91, 961/57, 327/724 quickly i.e. 176606814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 562/91, 961/57, 327/724 is 176606814.
LCM(562/91, 961/57, 327/724) = 176606814
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 562/91,961/57,327/724
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 562,961,327
Least Common Multiple of Numerators i.e. LCM of 562,961,327 is 176606814.
GCF of Denominators means GCF of 91,57,724 as per the given fractions.
GCF of 91,57,724 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 562,961,327
Given numbers has no common factors except 1. So, there LCM is their product i.e 176606814
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 562,961,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,961,327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(562,961,327) x common factors =1 x 1 = 1
LCM(562,961,327) = ( 562 × 961 × 327 ) / 1
LCM(562,961,327) = 176606814 / 1
LCM(562,961,327) = 176606814
Lets's calculate GCF of 91,57,724
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176606814/1
Therefore the LCM of Fractions 562/91,961/57,327/724 is 176606814
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Greatest Common Factor
We found the factors 91,57,724 . The biggest common factor number is the GCF number.
So the greatest common factor 91,57,724 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 562/91, 961/57, 327/724?
Answer: LCM of Numerators as per given numbers 562/91, 961/57, 327/724 is
LCM of Numerators i.e. for 562,961,327 is 176606814
GCF of denominators i.e. for 91,57,724 is 1.
Thus, LCM of Fractions is 176606814.Finally, LCM of Fractions for 562/91, 961/57, 327/724 is 176606814.