Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4502/634, 4747/419 quickly i.e. 21370994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4502/634, 4747/419 is 21370994.
LCM(4502/634, 4747/419) = 21370994
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4502/634,4747/419
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 4502,4747
Least Common Multiple of Numerators i.e. LCM of 4502,4747 is 21370994.
GCF of Denominators means GCF of 634,419 as per the given fractions.
GCF of 634,419 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4502,4747
Given numbers has no common factors except 1. So, there LCM is their product i.e 21370994
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 4502,4747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4502,4747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4502,4747) x common factors =1 x 1 = 1
LCM(4502,4747) = ( 4502 × 4747 ) / 1
LCM(4502,4747) = 21370994 / 1
LCM(4502,4747) = 21370994
Lets's calculate GCF of 634,419
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21370994/1
Therefore the LCM of Fractions 4502/634,4747/419 is 21370994
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Greatest Common Factor
We found the factors 634,419 . The biggest common factor number is the GCF number.
So the greatest common factor 634,419 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 4502/634, 4747/419?
Answer: LCM of Numerators as per given numbers 4502/634, 4747/419 is
LCM of Numerators i.e. for 4502,4747 is 21370994
GCF of denominators i.e. for 634,419 is 1.
Thus, LCM of Fractions is 21370994.Finally, LCM of Fractions for 4502/634, 4747/419 is 21370994.