Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 227/56, 279/2883 quickly i.e. 63333 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 227/56, 279/2883 is 63333.
LCM(227/56, 279/2883) = 63333
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 227/56,279/2883
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 227,279
Least Common Multiple of Numerators i.e. LCM of 227,279 is 63333.
GCF of Denominators means GCF of 56,2883 as per the given fractions.
GCF of 56,2883 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 227,279
Given numbers has no common factors except 1. So, there LCM is their product i.e 63333
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 227,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,279) x common factors =1 x 1 = 1
LCM(227,279) = ( 227 × 279 ) / 1
LCM(227,279) = 63333 / 1
LCM(227,279) = 63333
Lets's calculate GCF of 56,2883
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63333/1
Therefore the LCM of Fractions 227/56,279/2883 is 63333
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 2883
List of positive integer factors of 2883 that divides 2883 without a remainder.
1,3,31,93,961,2883
Greatest Common Factor
We found the factors 56,2883 . The biggest common factor number is the GCF number.
So the greatest common factor 56,2883 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 227/56, 279/2883?
Answer: LCM of Numerators as per given numbers 227/56, 279/2883 is
LCM of Numerators i.e. for 227,279 is 63333
GCF of denominators i.e. for 56,2883 is 1.
Thus, LCM of Fractions is 63333.Finally, LCM of Fractions for 227/56, 279/2883 is 63333.