Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1877/29, 4709/485 quickly i.e. 8838793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1877/29, 4709/485 is 8838793.
LCM(1877/29, 4709/485) = 8838793
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1877/29,4709/485
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 1877,4709
Least Common Multiple of Numerators i.e. LCM of 1877,4709 is 8838793.
GCF of Denominators means GCF of 29,485 as per the given fractions.
GCF of 29,485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1877,4709
Given numbers has no common factors except 1. So, there LCM is their product i.e 8838793
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 1877,4709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1877,4709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1877,4709) x common factors =1 x 1 = 1
LCM(1877,4709) = ( 1877 × 4709 ) / 1
LCM(1877,4709) = 8838793 / 1
LCM(1877,4709) = 8838793
Lets's calculate GCF of 29,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8838793/1
Therefore the LCM of Fractions 1877/29,4709/485 is 8838793
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 29,485 . The biggest common factor number is the GCF number.
So the greatest common factor 29,485 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 1877/29, 4709/485?
Answer: LCM of Numerators as per given numbers 1877/29, 4709/485 is
LCM of Numerators i.e. for 1877,4709 is 8838793
GCF of denominators i.e. for 29,485 is 1.
Thus, LCM of Fractions is 8838793.Finally, LCM of Fractions for 1877/29, 4709/485 is 8838793.