Least Common Multiple of 2691/754, 9466/5096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2691/754, 9466/5096 quickly i.e. 979731 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2691/754, 9466/5096 is 979731.

LCM(2691/754, 9466/5096) = 979731

LCM of 2691/754, 9466/5096

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 2691/754,9466/5096

Given numbers are 2691/754,9466/5096

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 2691,9466

Least Common Multiple of Numerators i.e. LCM of 2691,9466 is 25473006.

GCF of Denominators means GCF of 754,5096 as per the given fractions.

GCF of 754,5096 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2691,9466

LCM of Fractions 2691/754,9466/5096 is 979731

Given numbers has no common factors except 1. So, there LCM is their product i.e 25473006

Least Common Multiple of 2691,9466 with GCF Formula

Least Common Multiple of 2691,9466 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 2691,9466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2691,9466) = 1

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

GCF(2691,9466) x common factors =1 x 1 = 1

LCM(2691,9466) = ( 2691 × 9466 ) / 1

LCM(2691,9466) = 25473006 / 1

LCM(2691,9466) = 25473006


Lets's calculate GCF of 754,5096

2 754, 5096
13 377, 2548
29, 196

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25473006/26

Therefore the LCM of Fractions 2691/754,9466/5096 is 979731

Greatest Common Factor of 754,5096 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,5096 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 5096

List of positive integer factors of 5096 that divides 5096 without a remainder.

1,2,4,7,8,13,14,26,28,49,52,56,91,98,104,182,196,364,392,637,728,1274,2548,5096

Greatest Common Factor

We found the factors 754,5096 . The biggest common factor number is the GCF number.
So the greatest common factor 754,5096 is 26.


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 2691/754, 9466/5096

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 2691/754, 9466/5096?

Answer: LCM of Numerators as per given numbers 2691/754, 9466/5096 is

LCM of Numerators i.e. for 2691,9466 is 25473006

GCF of denominators i.e. for 754,5096 is 26.

Thus, LCM of Fractions is 979731.Finally, LCM of Fractions for 2691/754, 9466/5096 is 979731.