Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4063/971, 7071/260 quickly i.e. 28729473 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4063/971, 7071/260 is 28729473.
LCM(4063/971, 7071/260) = 28729473
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4063/971,7071/260
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 4063,7071
Least Common Multiple of Numerators i.e. LCM of 4063,7071 is 28729473.
GCF of Denominators means GCF of 971,260 as per the given fractions.
GCF of 971,260 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4063,7071
Given numbers has no common factors except 1. So, there LCM is their product i.e 28729473
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 4063,7071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4063,7071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4063,7071) x common factors =1 x 1 = 1
LCM(4063,7071) = ( 4063 × 7071 ) / 1
LCM(4063,7071) = 28729473 / 1
LCM(4063,7071) = 28729473
Lets's calculate GCF of 971,260
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28729473/1
Therefore the LCM of Fractions 4063/971,7071/260 is 28729473
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors 971,260 . The biggest common factor number is the GCF number.
So the greatest common factor 971,260 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 4063/971, 7071/260?
Answer: LCM of Numerators as per given numbers 4063/971, 7071/260 is
LCM of Numerators i.e. for 4063,7071 is 28729473
GCF of denominators i.e. for 971,260 is 1.
Thus, LCM of Fractions is 28729473.Finally, LCM of Fractions for 4063/971, 7071/260 is 28729473.