Least Common Multiple of 4691/33, 3990/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4691/33, 3990/311 quickly i.e. 18717090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4691/33, 3990/311 is 18717090.

LCM(4691/33, 3990/311) = 18717090

LCM of 4691/33, 3990/311

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 4691/33,3990/311

Given numbers are 4691/33,3990/311

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 4691,3990

Least Common Multiple of Numerators i.e. LCM of 4691,3990 is 18717090.

GCF of Denominators means GCF of 33,311 as per the given fractions.

GCF of 33,311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4691,3990

LCM of Fractions 4691/33,3990/311 is 18717090

Given numbers has no common factors except 1. So, there LCM is their product i.e 18717090

Least Common Multiple of 4691,3990 with GCF Formula

Least Common Multiple of 4691,3990 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 4691,3990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4691,3990) = 1

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

GCF(4691,3990) x common factors =1 x 1 = 1

LCM(4691,3990) = ( 4691 × 3990 ) / 1

LCM(4691,3990) = 18717090 / 1

LCM(4691,3990) = 18717090


Lets's calculate GCF of 33,311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18717090/1

Therefore the LCM of Fractions 4691/33,3990/311 is 18717090

Greatest Common Factor of 33,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,311 By Matching Biggest Common Factor Method

Factors of 33

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

1,3,11,33

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 33,311 . The biggest common factor number is the GCF number.
So the greatest common factor 33,311 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 4691/33, 3990/311

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 4691/33, 3990/311?

Answer: LCM of Numerators as per given numbers 4691/33, 3990/311 is

LCM of Numerators i.e. for 4691,3990 is 18717090

GCF of denominators i.e. for 33,311 is 1.

Thus, LCM of Fractions is 18717090.Finally, LCM of Fractions for 4691/33, 3990/311 is 18717090.