Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/671, 8711/5160 quickly i.e. 487816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/671, 8711/5160 is 487816.
LCM(56/671, 8711/5160) = 487816
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/671,8711/5160
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 56,8711
Least Common Multiple of Numerators i.e. LCM of 56,8711 is 487816.
GCF of Denominators means GCF of 671,5160 as per the given fractions.
GCF of 671,5160 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,8711
Given numbers has no common factors except 1. So, there LCM is their product i.e 487816
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 56,8711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,8711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,8711) x common factors =1 x 1 = 1
LCM(56,8711) = ( 56 × 8711 ) / 1
LCM(56,8711) = 487816 / 1
LCM(56,8711) = 487816
Lets's calculate GCF of 671,5160
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487816/1
Therefore the LCM of Fractions 56/671,8711/5160 is 487816
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 5160
List of positive integer factors of 5160 that divides 5160 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160
Greatest Common Factor
We found the factors 671,5160 . The biggest common factor number is the GCF number.
So the greatest common factor 671,5160 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 56/671, 8711/5160?
Answer: LCM of Numerators as per given numbers 56/671, 8711/5160 is
LCM of Numerators i.e. for 56,8711 is 487816
GCF of denominators i.e. for 671,5160 is 1.
Thus, LCM of Fractions is 487816.Finally, LCM of Fractions for 56/671, 8711/5160 is 487816.