Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/47, 47/30, 37/52 quickly i.e. 116513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/47, 47/30, 37/52 is 116513.
LCM(67/47, 47/30, 37/52) = 116513
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/47,47/30,37/52
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 67,47,37
Least Common Multiple of Numerators i.e. LCM of 67,47,37 is 116513.
GCF of Denominators means GCF of 47,30,52 as per the given fractions.
GCF of 47,30,52 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,47,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 116513
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 67,47,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,47,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,47,37) x common factors =1 x 1 = 1
LCM(67,47,37) = ( 67 × 47 × 37 ) / 1
LCM(67,47,37) = 116513 / 1
LCM(67,47,37) = 116513
Lets's calculate GCF of 47,30,52
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116513/1
Therefore the LCM of Fractions 67/47,47/30,37/52 is 116513
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Greatest Common Factor
We found the factors 47,30,52 . The biggest common factor number is the GCF number.
So the greatest common factor 47,30,52 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 67/47, 47/30, 37/52?
Answer: LCM of Numerators as per given numbers 67/47, 47/30, 37/52 is
LCM of Numerators i.e. for 67,47,37 is 116513
GCF of denominators i.e. for 47,30,52 is 1.
Thus, LCM of Fractions is 116513.Finally, LCM of Fractions for 67/47, 47/30, 37/52 is 116513.