Least Common Multiple of 703/459, 8431/338
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 703/459, 8431/338 quickly i.e. 5926993 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 703/459, 8431/338 is 5926993.
LCM(703/459, 8431/338) = 5926993
LCM of 703/459, 8431/338
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 703/459,8431/338
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 703,8431
Least Common Multiple of Numerators i.e. LCM of 703,8431 is 5926993.
GCF of Denominators means GCF of 459,338 as per the given fractions.
GCF of 459,338 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 703,8431
LCM of Fractions 703/459,8431/338 is 5926993
Given numbers has no common factors except 1. So, there LCM is their product i.e 5926993
Least Common Multiple of 703,8431 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 703,8431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,8431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,8431) x common factors =1 x 1 = 1
LCM(703,8431) = ( 703 × 8431 ) / 1
LCM(703,8431) = 5926993 / 1
LCM(703,8431) = 5926993
Lets's calculate GCF of 459,338
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5926993/1
Therefore the LCM of Fractions 703/459,8431/338 is 5926993