Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 320/44, 953/9109 quickly i.e. 304960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 320/44, 953/9109 is 304960.
LCM(320/44, 953/9109) = 304960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 320/44,953/9109
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 320,953
Least Common Multiple of Numerators i.e. LCM of 320,953 is 304960.
GCF of Denominators means GCF of 44,9109 as per the given fractions.
GCF of 44,9109 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 320,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 304960
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 320,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(320,953) x common factors =1 x 1 = 1
LCM(320,953) = ( 320 × 953 ) / 1
LCM(320,953) = 304960 / 1
LCM(320,953) = 304960
Lets's calculate GCF of 44,9109
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304960/1
Therefore the LCM of Fractions 320/44,953/9109 is 304960
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 9109
List of positive integer factors of 9109 that divides 9109 without a remainder.
1,9109
Greatest Common Factor
We found the factors 44,9109 . The biggest common factor number is the GCF number.
So the greatest common factor 44,9109 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 320/44, 953/9109?
Answer: LCM of Numerators as per given numbers 320/44, 953/9109 is
LCM of Numerators i.e. for 320,953 is 304960
GCF of denominators i.e. for 44,9109 is 1.
Thus, LCM of Fractions is 304960.Finally, LCM of Fractions for 320/44, 953/9109 is 304960.