Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5002/791, 1353/5278 quickly i.e. 165066/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5002/791, 1353/5278 is 165066/7.
LCM(5002/791, 1353/5278) = 165066/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5002/791,1353/5278
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 5002,1353
Least Common Multiple of Numerators i.e. LCM of 5002,1353 is 165066.
GCF of Denominators means GCF of 791,5278 as per the given fractions.
GCF of 791,5278 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5002,1353
41 | 5002, 1353 |
122, 33 |
∴ So the LCM of the given numbers is 41 x 122 x 33 = 165066
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 5002,1353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5002,1353) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(5002,1353) x common factors =41 x 1 = 41
LCM(5002,1353) = ( 5002 × 1353 ) / 41
LCM(5002,1353) = 6767706 / 41
LCM(5002,1353) = 165066
Lets's calculate GCF of 791,5278
7 | 791, 5278 |
113, 754 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165066/7
Therefore the LCM of Fractions 5002/791,1353/5278 is 165066/7
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 5278
List of positive integer factors of 5278 that divides 5278 without a remainder.
1,2,7,13,14,26,29,58,91,182,203,377,406,754,2639,5278
Greatest Common Factor
We found the factors 791,5278 . The biggest common factor number is the GCF number.
So the greatest common factor 791,5278 is 7.
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 5002/791, 1353/5278?
Answer: LCM of Numerators as per given numbers 5002/791, 1353/5278 is
LCM of Numerators i.e. for 5002,1353 is 165066
GCF of denominators i.e. for 791,5278 is 7.
Thus, LCM of Fractions is 165066/7.Finally, LCM of Fractions for 5002/791, 1353/5278 is 165066/7.