Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/13, 97/63, 57/28, 37/226 quickly i.e. 9614931 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/13, 97/63, 57/28, 37/226 is 9614931.
LCM(47/13, 97/63, 57/28, 37/226) = 9614931
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/13,97/63,57/28,37/226
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 47,97,57,37
Least Common Multiple of Numerators i.e. LCM of 47,97,57,37 is 9614931.
GCF of Denominators means GCF of 13,63,28,226 as per the given fractions.
GCF of 13,63,28,226 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,97,57,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 9614931
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 47,97,57,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,97,57,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,97,57,37) x common factors =1 x 1 = 1
LCM(47,97,57,37) = ( 47 × 97 × 57 × 37 ) / 1
LCM(47,97,57,37) = 9614931 / 1
LCM(47,97,57,37) = 9614931
Lets's calculate GCF of 13,63,28,226
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9614931/1
Therefore the LCM of Fractions 47/13,97/63,57/28,37/226 is 9614931
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Greatest Common Factor
We found the factors 13,63,28,226 . The biggest common factor number is the GCF number.
So the greatest common factor 13,63,28,226 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 47/13, 97/63, 57/28, 37/226?
Answer: LCM of Numerators as per given numbers 47/13, 97/63, 57/28, 37/226 is
LCM of Numerators i.e. for 47,97,57,37 is 9614931
GCF of denominators i.e. for 13,63,28,226 is 1.
Thus, LCM of Fractions is 9614931.Finally, LCM of Fractions for 47/13, 97/63, 57/28, 37/226 is 9614931.