Least Common Multiple of 769/419, 9678/475
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 769/419, 9678/475 quickly i.e. 7442382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 769/419, 9678/475 is 7442382.
LCM(769/419, 9678/475) = 7442382
LCM of 769/419, 9678/475
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 769/419,9678/475
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 769,9678
Least Common Multiple of Numerators i.e. LCM of 769,9678 is 7442382.
GCF of Denominators means GCF of 419,475 as per the given fractions.
GCF of 419,475 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 769,9678
LCM of Fractions 769/419,9678/475 is 7442382
Given numbers has no common factors except 1. So, there LCM is their product i.e 7442382
Least Common Multiple of 769,9678 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 769,9678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,9678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,9678) x common factors =1 x 1 = 1
LCM(769,9678) = ( 769 × 9678 ) / 1
LCM(769,9678) = 7442382 / 1
LCM(769,9678) = 7442382
Lets's calculate GCF of 419,475
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7442382/1
Therefore the LCM of Fractions 769/419,9678/475 is 7442382
