Least Common Multiple of 5002/791, 1353/5278

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

LCM of 5002/791, 1353/5278

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 5002/791,1353/5278

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

LCM of Fractions 5002/791,1353/5278 is 165066/7

41 5002, 1353
122, 33

∴ So the LCM of the given numbers is 41 x 122 x 33 = 165066

Least Common Multiple of 5002,1353 with GCF Formula

Least Common Multiple of 5002,1353 with GCF Formula

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

Greatest Common Factor of 791,5278 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,5278 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5002/791, 1353/5278

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.