Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/57, 392/55, 643/960 quickly i.e. 17895976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/57, 392/55, 643/960 is 17895976.
LCM(71/57, 392/55, 643/960) = 17895976
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/57,392/55,643/960
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 71,392,643
Least Common Multiple of Numerators i.e. LCM of 71,392,643 is 17895976.
GCF of Denominators means GCF of 57,55,960 as per the given fractions.
GCF of 57,55,960 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,392,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 17895976
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 71,392,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,392,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,392,643) x common factors =1 x 1 = 1
LCM(71,392,643) = ( 71 × 392 × 643 ) / 1
LCM(71,392,643) = 17895976 / 1
LCM(71,392,643) = 17895976
Lets's calculate GCF of 57,55,960
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17895976/1
Therefore the LCM of Fractions 71/57,392/55,643/960 is 17895976
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 57,55,960 . The biggest common factor number is the GCF number.
So the greatest common factor 57,55,960 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 71/57, 392/55, 643/960?
Answer: LCM of Numerators as per given numbers 71/57, 392/55, 643/960 is
LCM of Numerators i.e. for 71,392,643 is 17895976
GCF of denominators i.e. for 57,55,960 is 1.
Thus, LCM of Fractions is 17895976.Finally, LCM of Fractions for 71/57, 392/55, 643/960 is 17895976.