Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 395/803, 4691/1026 quickly i.e. 1852945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 395/803, 4691/1026 is 1852945.
LCM(395/803, 4691/1026) = 1852945
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 395/803,4691/1026
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 395,4691
Least Common Multiple of Numerators i.e. LCM of 395,4691 is 1852945.
GCF of Denominators means GCF of 803,1026 as per the given fractions.
GCF of 803,1026 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 395,4691
Given numbers has no common factors except 1. So, there LCM is their product i.e 1852945
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 395,4691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,4691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,4691) x common factors =1 x 1 = 1
LCM(395,4691) = ( 395 × 4691 ) / 1
LCM(395,4691) = 1852945 / 1
LCM(395,4691) = 1852945
Lets's calculate GCF of 803,1026
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1852945/1
Therefore the LCM of Fractions 395/803,4691/1026 is 1852945
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 1026
List of positive integer factors of 1026 that divides 1026 without a remainder.
1,2,3,6,9,18,19,27,38,54,57,114,171,342,513,1026
Greatest Common Factor
We found the factors 803,1026 . The biggest common factor number is the GCF number.
So the greatest common factor 803,1026 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 395/803, 4691/1026?
Answer: LCM of Numerators as per given numbers 395/803, 4691/1026 is
LCM of Numerators i.e. for 395,4691 is 1852945
GCF of denominators i.e. for 803,1026 is 1.
Thus, LCM of Fractions is 1852945.Finally, LCM of Fractions for 395/803, 4691/1026 is 1852945.