Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7475/238, 5263/5783 quickly i.e. 39340925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7475/238, 5263/5783 is 39340925.
LCM(7475/238, 5263/5783) = 39340925
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7475/238,5263/5783
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 7475,5263
Least Common Multiple of Numerators i.e. LCM of 7475,5263 is 39340925.
GCF of Denominators means GCF of 238,5783 as per the given fractions.
GCF of 238,5783 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7475,5263
Given numbers has no common factors except 1. So, there LCM is their product i.e 39340925
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 7475,5263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7475,5263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7475,5263) x common factors =1 x 1 = 1
LCM(7475,5263) = ( 7475 × 5263 ) / 1
LCM(7475,5263) = 39340925 / 1
LCM(7475,5263) = 39340925
Lets's calculate GCF of 238,5783
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39340925/1
Therefore the LCM of Fractions 7475/238,5263/5783 is 39340925
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Factors of 5783
List of positive integer factors of 5783 that divides 5783 without a remainder.
1,5783
Greatest Common Factor
We found the factors 238,5783 . The biggest common factor number is the GCF number.
So the greatest common factor 238,5783 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 7475/238, 5263/5783?
Answer: LCM of Numerators as per given numbers 7475/238, 5263/5783 is
LCM of Numerators i.e. for 7475,5263 is 39340925
GCF of denominators i.e. for 238,5783 is 1.
Thus, LCM of Fractions is 39340925.Finally, LCM of Fractions for 7475/238, 5263/5783 is 39340925.