Least Common Multiple of 271/319, 3309/4220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 271/319, 3309/4220 quickly i.e. 896739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 271/319, 3309/4220 is 896739.

LCM(271/319, 3309/4220) = 896739

LCM of 271/319, 3309/4220

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 271/319,3309/4220

Given numbers are 271/319,3309/4220

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 271,3309

Least Common Multiple of Numerators i.e. LCM of 271,3309 is 896739.

GCF of Denominators means GCF of 319,4220 as per the given fractions.

GCF of 319,4220 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 271,3309

LCM of Fractions 271/319,3309/4220 is 896739

Given numbers has no common factors except 1. So, there LCM is their product i.e 896739

Least Common Multiple of 271,3309 with GCF Formula

Least Common Multiple of 271,3309 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 271,3309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,3309) = 1

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

GCF(271,3309) x common factors =1 x 1 = 1

LCM(271,3309) = ( 271 × 3309 ) / 1

LCM(271,3309) = 896739 / 1

LCM(271,3309) = 896739


Lets's calculate GCF of 319,4220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 896739/1

Therefore the LCM of Fractions 271/319,3309/4220 is 896739

Greatest Common Factor of 319,4220 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,4220 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 4220

List of positive integer factors of 4220 that divides 4220 without a remainder.

1,2,4,5,10,20,211,422,844,1055,2110,4220

Greatest Common Factor

We found the factors 319,4220 . The biggest common factor number is the GCF number.
So the greatest common factor 319,4220 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 271/319, 3309/4220

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 271/319, 3309/4220?

Answer: LCM of Numerators as per given numbers 271/319, 3309/4220 is

LCM of Numerators i.e. for 271,3309 is 896739

GCF of denominators i.e. for 319,4220 is 1.

Thus, LCM of Fractions is 896739.Finally, LCM of Fractions for 271/319, 3309/4220 is 896739.