Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/472, 7472/4717 quickly i.e. 276464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/472, 7472/4717 is 276464.
LCM(37/472, 7472/4717) = 276464
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/472,7472/4717
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 37,7472
Least Common Multiple of Numerators i.e. LCM of 37,7472 is 276464.
GCF of Denominators means GCF of 472,4717 as per the given fractions.
GCF of 472,4717 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,7472
Given numbers has no common factors except 1. So, there LCM is their product i.e 276464
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 37,7472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,7472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,7472) x common factors =1 x 1 = 1
LCM(37,7472) = ( 37 × 7472 ) / 1
LCM(37,7472) = 276464 / 1
LCM(37,7472) = 276464
Lets's calculate GCF of 472,4717
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276464/1
Therefore the LCM of Fractions 37/472,7472/4717 is 276464
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Factors of 4717
List of positive integer factors of 4717 that divides 4717 without a remainder.
1,53,89,4717
Greatest Common Factor
We found the factors 472,4717 . The biggest common factor number is the GCF number.
So the greatest common factor 472,4717 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 37/472, 7472/4717?
Answer: LCM of Numerators as per given numbers 37/472, 7472/4717 is
LCM of Numerators i.e. for 37,7472 is 276464
GCF of denominators i.e. for 472,4717 is 1.
Thus, LCM of Fractions is 276464.Finally, LCM of Fractions for 37/472, 7472/4717 is 276464.