Least Common Multiple of 311/31, 274/33, 746/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 311/31, 274/33, 746/279 quickly i.e. 31784822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/31, 274/33, 746/279 is 31784822.

LCM(311/31, 274/33, 746/279) = 31784822

LCM of 311/31, 274/33, 746/279

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 311/31,274/33,746/279

Given numbers are 311/31,274/33,746/279

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 311,274,746

Least Common Multiple of Numerators i.e. LCM of 311,274,746 is 31784822.

GCF of Denominators means GCF of 31,33,279 as per the given fractions.

GCF of 31,33,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,274,746

LCM of Fractions 311/31,274/33,746/279 is 31784822

2 311, 274, 746
311, 137, 373

∴ So the LCM of the given numbers is 2 x 311 x 137 x 373 = 31784822

Least Common Multiple of 311,274,746 with GCF Formula

Least Common Multiple of 311,274,746 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 311,274,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,274,746) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(311,274,746) x common factors =1 x 2 = 2

LCM(311,274,746) = ( 311 × 274 × 746 ) / 2

LCM(311,274,746) = 63569644 / 2

LCM(311,274,746) = 31784822


Lets's calculate GCF of 31,33,279

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31784822/1

Therefore the LCM of Fractions 311/31,274/33,746/279 is 31784822

Greatest Common Factor of 31,33,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,33,279 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 31,33,279 . The biggest common factor number is the GCF number.
So the greatest common factor 31,33,279 is 1.


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 311/31, 274/33, 746/279

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 311/31, 274/33, 746/279?

Answer: LCM of Numerators as per given numbers 311/31, 274/33, 746/279 is

LCM of Numerators i.e. for 311,274,746 is 31784822

GCF of denominators i.e. for 31,33,279 is 1.

Thus, LCM of Fractions is 31784822.Finally, LCM of Fractions for 311/31, 274/33, 746/279 is 31784822.