Least Common Multiple of 491/94, 279/1344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/94, 279/1344 quickly i.e. 136989/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/94, 279/1344 is 136989/2.

LCM(491/94, 279/1344) = 136989/2

LCM of 491/94, 279/1344

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 491/94,279/1344

Given numbers are 491/94,279/1344

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 491,279

Least Common Multiple of Numerators i.e. LCM of 491,279 is 136989.

GCF of Denominators means GCF of 94,1344 as per the given fractions.

GCF of 94,1344 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,279

LCM of Fractions 491/94,279/1344 is 136989/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 136989

Least Common Multiple of 491,279 with GCF Formula

Least Common Multiple of 491,279 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 491,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,279) = 1

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

GCF(491,279) x common factors =1 x 1 = 1

LCM(491,279) = ( 491 × 279 ) / 1

LCM(491,279) = 136989 / 1

LCM(491,279) = 136989


Lets's calculate GCF of 94,1344

2 94, 1344
47, 672

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136989/2

Therefore the LCM of Fractions 491/94,279/1344 is 136989/2

Greatest Common Factor of 94,1344 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,1344 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 1344

List of positive integer factors of 1344 that divides 1344 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,168,192,224,336,448,672,1344

Greatest Common Factor

We found the factors 94,1344 . The biggest common factor number is the GCF number.
So the greatest common factor 94,1344 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 491/94, 279/1344

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 491/94, 279/1344?

Answer: LCM of Numerators as per given numbers 491/94, 279/1344 is

LCM of Numerators i.e. for 491,279 is 136989

GCF of denominators i.e. for 94,1344 is 2.

Thus, LCM of Fractions is 136989/2.Finally, LCM of Fractions for 491/94, 279/1344 is 136989/2.