Least Common Multiple of 114/30, 263/2831
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 114/30, 263/2831 quickly i.e. 29982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 114/30, 263/2831 is 29982.
LCM(114/30, 263/2831) = 29982
LCM of 114/30, 263/2831
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 114/30,263/2831
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 114,263
Least Common Multiple of Numerators i.e. LCM of 114,263 is 29982.
GCF of Denominators means GCF of 30,2831 as per the given fractions.
GCF of 30,2831 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 114,263
LCM of Fractions 114/30,263/2831 is 29982
Given numbers has no common factors except 1. So, there LCM is their product i.e 29982
Least Common Multiple of 114,263 with GCF Formula
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 114,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(114,263) x common factors =1 x 1 = 1
LCM(114,263) = ( 114 × 263 ) / 1
LCM(114,263) = 29982 / 1
LCM(114,263) = 29982
Lets's calculate GCF of 30,2831
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29982/1
Therefore the LCM of Fractions 114/30,263/2831 is 29982