Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/305, 1009/6326 quickly i.e. 94846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/305, 1009/6326 is 94846.
LCM(94/305, 1009/6326) = 94846
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/305,1009/6326
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 94,1009
Least Common Multiple of Numerators i.e. LCM of 94,1009 is 94846.
GCF of Denominators means GCF of 305,6326 as per the given fractions.
GCF of 305,6326 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,1009
Given numbers has no common factors except 1. So, there LCM is their product i.e 94846
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 94,1009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,1009) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,1009) x common factors =1 x 1 = 1
LCM(94,1009) = ( 94 × 1009 ) / 1
LCM(94,1009) = 94846 / 1
LCM(94,1009) = 94846
Lets's calculate GCF of 305,6326
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94846/1
Therefore the LCM of Fractions 94/305,1009/6326 is 94846
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 6326
List of positive integer factors of 6326 that divides 6326 without a remainder.
1,2,3163,6326
Greatest Common Factor
We found the factors 305,6326 . The biggest common factor number is the GCF number.
So the greatest common factor 305,6326 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 94/305, 1009/6326?
Answer: LCM of Numerators as per given numbers 94/305, 1009/6326 is
LCM of Numerators i.e. for 94,1009 is 94846
GCF of denominators i.e. for 305,6326 is 1.
Thus, LCM of Fractions is 94846.Finally, LCM of Fractions for 94/305, 1009/6326 is 94846.