Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 400/46, 761/2993 quickly i.e. 304400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 400/46, 761/2993 is 304400.
LCM(400/46, 761/2993) = 304400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 400/46,761/2993
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 400,761
Least Common Multiple of Numerators i.e. LCM of 400,761 is 304400.
GCF of Denominators means GCF of 46,2993 as per the given fractions.
GCF of 46,2993 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 400,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 304400
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 400,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(400,761) x common factors =1 x 1 = 1
LCM(400,761) = ( 400 × 761 ) / 1
LCM(400,761) = 304400 / 1
LCM(400,761) = 304400
Lets's calculate GCF of 46,2993
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304400/1
Therefore the LCM of Fractions 400/46,761/2993 is 304400
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 2993
List of positive integer factors of 2993 that divides 2993 without a remainder.
1,41,73,2993
Greatest Common Factor
We found the factors 46,2993 . The biggest common factor number is the GCF number.
So the greatest common factor 46,2993 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 400/46, 761/2993?
Answer: LCM of Numerators as per given numbers 400/46, 761/2993 is
LCM of Numerators i.e. for 400,761 is 304400
GCF of denominators i.e. for 46,2993 is 1.
Thus, LCM of Fractions is 304400.Finally, LCM of Fractions for 400/46, 761/2993 is 304400.