Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/57, 32/71, 643/964 quickly i.e. 1995872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/57, 32/71, 643/964 is 1995872.
LCM(97/57, 32/71, 643/964) = 1995872
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/57,32/71,643/964
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 97,32,643
Least Common Multiple of Numerators i.e. LCM of 97,32,643 is 1995872.
GCF of Denominators means GCF of 57,71,964 as per the given fractions.
GCF of 57,71,964 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,32,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 1995872
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 97,32,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,32,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,32,643) x common factors =1 x 1 = 1
LCM(97,32,643) = ( 97 × 32 × 643 ) / 1
LCM(97,32,643) = 1995872 / 1
LCM(97,32,643) = 1995872
Lets's calculate GCF of 57,71,964
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1995872/1
Therefore the LCM of Fractions 97/57,32/71,643/964 is 1995872
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Greatest Common Factor
We found the factors 57,71,964 . The biggest common factor number is the GCF number.
So the greatest common factor 57,71,964 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 97/57, 32/71, 643/964?
Answer: LCM of Numerators as per given numbers 97/57, 32/71, 643/964 is
LCM of Numerators i.e. for 97,32,643 is 1995872
GCF of denominators i.e. for 57,71,964 is 1.
Thus, LCM of Fractions is 1995872.Finally, LCM of Fractions for 97/57, 32/71, 643/964 is 1995872.