Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3163/71, 2566/752 quickly i.e. 8116258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3163/71, 2566/752 is 8116258.
LCM(3163/71, 2566/752) = 8116258
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3163/71,2566/752
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 3163,2566
Least Common Multiple of Numerators i.e. LCM of 3163,2566 is 8116258.
GCF of Denominators means GCF of 71,752 as per the given fractions.
GCF of 71,752 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3163,2566
Given numbers has no common factors except 1. So, there LCM is their product i.e 8116258
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 3163,2566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3163,2566) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3163,2566) x common factors =1 x 1 = 1
LCM(3163,2566) = ( 3163 × 2566 ) / 1
LCM(3163,2566) = 8116258 / 1
LCM(3163,2566) = 8116258
Lets's calculate GCF of 71,752
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8116258/1
Therefore the LCM of Fractions 3163/71,2566/752 is 8116258
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 71,752 . The biggest common factor number is the GCF number.
So the greatest common factor 71,752 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 3163/71, 2566/752?
Answer: LCM of Numerators as per given numbers 3163/71, 2566/752 is
LCM of Numerators i.e. for 3163,2566 is 8116258
GCF of denominators i.e. for 71,752 is 1.
Thus, LCM of Fractions is 8116258.Finally, LCM of Fractions for 3163/71, 2566/752 is 8116258.