Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/399, 2932/4112 quickly i.e. 131940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/399, 2932/4112 is 131940.
LCM(45/399, 2932/4112) = 131940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/399,2932/4112
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 45,2932
Least Common Multiple of Numerators i.e. LCM of 45,2932 is 131940.
GCF of Denominators means GCF of 399,4112 as per the given fractions.
GCF of 399,4112 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,2932
Given numbers has no common factors except 1. So, there LCM is their product i.e 131940
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 45,2932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,2932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,2932) x common factors =1 x 1 = 1
LCM(45,2932) = ( 45 × 2932 ) / 1
LCM(45,2932) = 131940 / 1
LCM(45,2932) = 131940
Lets's calculate GCF of 399,4112
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131940/1
Therefore the LCM of Fractions 45/399,2932/4112 is 131940
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 4112
List of positive integer factors of 4112 that divides 4112 without a remainder.
1,2,4,8,16,257,514,1028,2056,4112
Greatest Common Factor
We found the factors 399,4112 . The biggest common factor number is the GCF number.
So the greatest common factor 399,4112 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 45/399, 2932/4112?
Answer: LCM of Numerators as per given numbers 45/399, 2932/4112 is
LCM of Numerators i.e. for 45,2932 is 131940
GCF of denominators i.e. for 399,4112 is 1.
Thus, LCM of Fractions is 131940.Finally, LCM of Fractions for 45/399, 2932/4112 is 131940.