Least Common Multiple of 491/76, 348/2344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/76, 348/2344 quickly i.e. 42717 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/76, 348/2344 is 42717.

LCM(491/76, 348/2344) = 42717

LCM of 491/76, 348/2344

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 491/76,348/2344

Given numbers are 491/76,348/2344

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 491,348

Least Common Multiple of Numerators i.e. LCM of 491,348 is 170868.

GCF of Denominators means GCF of 76,2344 as per the given fractions.

GCF of 76,2344 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,348

LCM of Fractions 491/76,348/2344 is 42717

Given numbers has no common factors except 1. So, there LCM is their product i.e 170868

Least Common Multiple of 491,348 with GCF Formula

Least Common Multiple of 491,348 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 491,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,348) = 1

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

GCF(491,348) x common factors =1 x 1 = 1

LCM(491,348) = ( 491 × 348 ) / 1

LCM(491,348) = 170868 / 1

LCM(491,348) = 170868


Lets's calculate GCF of 76,2344

2 76, 2344
2 38, 1172
19, 586

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170868/4

Therefore the LCM of Fractions 491/76,348/2344 is 42717

Greatest Common Factor of 76,2344 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,2344 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 2344

List of positive integer factors of 2344 that divides 2344 without a remainder.

1,2,4,8,293,586,1172,2344

Greatest Common Factor

We found the factors 76,2344 . The biggest common factor number is the GCF number.
So the greatest common factor 76,2344 is 4.


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 491/76, 348/2344

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 491/76, 348/2344?

Answer: LCM of Numerators as per given numbers 491/76, 348/2344 is

LCM of Numerators i.e. for 491,348 is 170868

GCF of denominators i.e. for 76,2344 is 4.

Thus, LCM of Fractions is 42717.Finally, LCM of Fractions for 491/76, 348/2344 is 42717.