Least Common Multiple of 7113/794, 2509/2516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7113/794, 2509/2516 quickly i.e. 17846517/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7113/794, 2509/2516 is 17846517/2.

LCM(7113/794, 2509/2516) = 17846517/2

LCM of 7113/794, 2509/2516

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 7113/794,2509/2516

Given numbers are 7113/794,2509/2516

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 7113,2509

Least Common Multiple of Numerators i.e. LCM of 7113,2509 is 17846517.

GCF of Denominators means GCF of 794,2516 as per the given fractions.

GCF of 794,2516 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7113,2509

LCM of Fractions 7113/794,2509/2516 is 17846517/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 17846517

Least Common Multiple of 7113,2509 with GCF Formula

Least Common Multiple of 7113,2509 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 7113,2509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7113,2509) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7113,2509) x common factors =1 x 1 = 1

LCM(7113,2509) = ( 7113 × 2509 ) / 1

LCM(7113,2509) = 17846517 / 1

LCM(7113,2509) = 17846517


Lets's calculate GCF of 794,2516

2 794, 2516
397, 1258

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17846517/2

Therefore the LCM of Fractions 7113/794,2509/2516 is 17846517/2

Greatest Common Factor of 794,2516 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,2516 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 2516

List of positive integer factors of 2516 that divides 2516 without a remainder.

1,2,4,17,34,37,68,74,148,629,1258,2516

Greatest Common Factor

We found the factors 794,2516 . The biggest common factor number is the GCF number.
So the greatest common factor 794,2516 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7113/794, 2509/2516

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 7113/794, 2509/2516?

Answer: LCM of Numerators as per given numbers 7113/794, 2509/2516 is

LCM of Numerators i.e. for 7113,2509 is 17846517

GCF of denominators i.e. for 794,2516 is 2.

Thus, LCM of Fractions is 17846517/2.Finally, LCM of Fractions for 7113/794, 2509/2516 is 17846517/2.