Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/931, 3882/6543 quickly i.e. 275622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/931, 3882/6543 is 275622.
LCM(71/931, 3882/6543) = 275622
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/931,3882/6543
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 71,3882
Least Common Multiple of Numerators i.e. LCM of 71,3882 is 275622.
GCF of Denominators means GCF of 931,6543 as per the given fractions.
GCF of 931,6543 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,3882
Given numbers has no common factors except 1. So, there LCM is their product i.e 275622
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 71,3882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,3882) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,3882) x common factors =1 x 1 = 1
LCM(71,3882) = ( 71 × 3882 ) / 1
LCM(71,3882) = 275622 / 1
LCM(71,3882) = 275622
Lets's calculate GCF of 931,6543
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275622/1
Therefore the LCM of Fractions 71/931,3882/6543 is 275622
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 6543
List of positive integer factors of 6543 that divides 6543 without a remainder.
1,3,9,727,2181,6543
Greatest Common Factor
We found the factors 931,6543 . The biggest common factor number is the GCF number.
So the greatest common factor 931,6543 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 71/931, 3882/6543?
Answer: LCM of Numerators as per given numbers 71/931, 3882/6543 is
LCM of Numerators i.e. for 71,3882 is 275622
GCF of denominators i.e. for 931,6543 is 1.
Thus, LCM of Fractions is 275622.Finally, LCM of Fractions for 71/931, 3882/6543 is 275622.