Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/731, 4465/5137 quickly i.e. 49115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/731, 4465/5137 is 49115.
LCM(11/731, 4465/5137) = 49115
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/731,4465/5137
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 11,4465
Least Common Multiple of Numerators i.e. LCM of 11,4465 is 49115.
GCF of Denominators means GCF of 731,5137 as per the given fractions.
GCF of 731,5137 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,4465
Given numbers has no common factors except 1. So, there LCM is their product i.e 49115
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 11,4465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,4465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,4465) x common factors =1 x 1 = 1
LCM(11,4465) = ( 11 × 4465 ) / 1
LCM(11,4465) = 49115 / 1
LCM(11,4465) = 49115
Lets's calculate GCF of 731,5137
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49115/1
Therefore the LCM of Fractions 11/731,4465/5137 is 49115
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 5137
List of positive integer factors of 5137 that divides 5137 without a remainder.
1,11,467,5137
Greatest Common Factor
We found the factors 731,5137 . The biggest common factor number is the GCF number.
So the greatest common factor 731,5137 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 11/731, 4465/5137?
Answer: LCM of Numerators as per given numbers 11/731, 4465/5137 is
LCM of Numerators i.e. for 11,4465 is 49115
GCF of denominators i.e. for 731,5137 is 1.
Thus, LCM of Fractions is 49115.Finally, LCM of Fractions for 11/731, 4465/5137 is 49115.