Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 747/633, 7334/4478 quickly i.e. 5478498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 747/633, 7334/4478 is 5478498.
LCM(747/633, 7334/4478) = 5478498
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 747/633,7334/4478
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 747,7334
Least Common Multiple of Numerators i.e. LCM of 747,7334 is 5478498.
GCF of Denominators means GCF of 633,4478 as per the given fractions.
GCF of 633,4478 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 747,7334
Given numbers has no common factors except 1. So, there LCM is their product i.e 5478498
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 747,7334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,7334) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,7334) x common factors =1 x 1 = 1
LCM(747,7334) = ( 747 × 7334 ) / 1
LCM(747,7334) = 5478498 / 1
LCM(747,7334) = 5478498
Lets's calculate GCF of 633,4478
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5478498/1
Therefore the LCM of Fractions 747/633,7334/4478 is 5478498
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 4478
List of positive integer factors of 4478 that divides 4478 without a remainder.
1,2,2239,4478
Greatest Common Factor
We found the factors 633,4478 . The biggest common factor number is the GCF number.
So the greatest common factor 633,4478 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 747/633, 7334/4478?
Answer: LCM of Numerators as per given numbers 747/633, 7334/4478 is
LCM of Numerators i.e. for 747,7334 is 5478498
GCF of denominators i.e. for 633,4478 is 1.
Thus, LCM of Fractions is 5478498.Finally, LCM of Fractions for 747/633, 7334/4478 is 5478498.