Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 457/43, 799/1385 quickly i.e. 365143 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 457/43, 799/1385 is 365143.
LCM(457/43, 799/1385) = 365143
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 457/43,799/1385
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 457,799
Least Common Multiple of Numerators i.e. LCM of 457,799 is 365143.
GCF of Denominators means GCF of 43,1385 as per the given fractions.
GCF of 43,1385 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 457,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 365143
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 457,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,799) x common factors =1 x 1 = 1
LCM(457,799) = ( 457 × 799 ) / 1
LCM(457,799) = 365143 / 1
LCM(457,799) = 365143
Lets's calculate GCF of 43,1385
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365143/1
Therefore the LCM of Fractions 457/43,799/1385 is 365143
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 1385
List of positive integer factors of 1385 that divides 1385 without a remainder.
1,5,277,1385
Greatest Common Factor
We found the factors 43,1385 . The biggest common factor number is the GCF number.
So the greatest common factor 43,1385 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 457/43, 799/1385?
Answer: LCM of Numerators as per given numbers 457/43, 799/1385 is
LCM of Numerators i.e. for 457,799 is 365143
GCF of denominators i.e. for 43,1385 is 1.
Thus, LCM of Fractions is 365143.Finally, LCM of Fractions for 457/43, 799/1385 is 365143.