Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 753/13, 251/4931 quickly i.e. 753 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 753/13, 251/4931 is 753.
LCM(753/13, 251/4931) = 753
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 753/13,251/4931
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 753,251
Least Common Multiple of Numerators i.e. LCM of 753,251 is 753.
GCF of Denominators means GCF of 13,4931 as per the given fractions.
GCF of 13,4931 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 753,251
251 | 753, 251 |
3, 1 |
∴ So the LCM of the given numbers is 251 x 3 x 1 = 753
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 753,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,251) = 251
common factors(in case of two or more numbers have common factors) = 1
GCF(753,251) x common factors =251 x 1 = 251
LCM(753,251) = ( 753 × 251 ) / 251
LCM(753,251) = 189003 / 251
LCM(753,251) = 753
Lets's calculate GCF of 13,4931
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 753/1
Therefore the LCM of Fractions 753/13,251/4931 is 753
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 4931
List of positive integer factors of 4931 that divides 4931 without a remainder.
1,4931
Greatest Common Factor
We found the factors 13,4931 . The biggest common factor number is the GCF number.
So the greatest common factor 13,4931 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 753/13, 251/4931?
Answer: LCM of Numerators as per given numbers 753/13, 251/4931 is
LCM of Numerators i.e. for 753,251 is 753
GCF of denominators i.e. for 13,4931 is 1.
Thus, LCM of Fractions is 753.Finally, LCM of Fractions for 753/13, 251/4931 is 753.