Least Common Multiple of 742/689, 8229/446
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 742/689, 8229/446 quickly i.e. 6105918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 742/689, 8229/446 is 6105918.
LCM(742/689, 8229/446) = 6105918
LCM of 742/689, 8229/446
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 742/689,8229/446
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 742,8229
Least Common Multiple of Numerators i.e. LCM of 742,8229 is 6105918.
GCF of Denominators means GCF of 689,446 as per the given fractions.
GCF of 689,446 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 742,8229
LCM of Fractions 742/689,8229/446 is 6105918
Given numbers has no common factors except 1. So, there LCM is their product i.e 6105918
Least Common Multiple of 742,8229 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 742,8229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,8229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(742,8229) x common factors =1 x 1 = 1
LCM(742,8229) = ( 742 × 8229 ) / 1
LCM(742,8229) = 6105918 / 1
LCM(742,8229) = 6105918
Lets's calculate GCF of 689,446
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6105918/1
Therefore the LCM of Fractions 742/689,8229/446 is 6105918