Least Common Multiple of 11/289, 4418/3247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/289, 4418/3247 quickly i.e. 48598/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/289, 4418/3247 is 48598/17.

LCM(11/289, 4418/3247) = 48598/17

LCM of 11/289, 4418/3247

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 11/289,4418/3247

Given numbers are 11/289,4418/3247

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 11,4418

Least Common Multiple of Numerators i.e. LCM of 11,4418 is 48598.

GCF of Denominators means GCF of 289,3247 as per the given fractions.

GCF of 289,3247 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,4418

LCM of Fractions 11/289,4418/3247 is 48598/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 48598

Least Common Multiple of 11,4418 with GCF Formula

Least Common Multiple of 11,4418 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 11,4418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,4418) = 1

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

GCF(11,4418) x common factors =1 x 1 = 1

LCM(11,4418) = ( 11 × 4418 ) / 1

LCM(11,4418) = 48598 / 1

LCM(11,4418) = 48598


Lets's calculate GCF of 289,3247

17 289, 3247
17, 191

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48598/17

Therefore the LCM of Fractions 11/289,4418/3247 is 48598/17

Greatest Common Factor of 289,3247 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,3247 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 3247

List of positive integer factors of 3247 that divides 3247 without a remainder.

1,17,191,3247

Greatest Common Factor

We found the factors 289,3247 . The biggest common factor number is the GCF number.
So the greatest common factor 289,3247 is 17.


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 11/289, 4418/3247

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 11/289, 4418/3247?

Answer: LCM of Numerators as per given numbers 11/289, 4418/3247 is

LCM of Numerators i.e. for 11,4418 is 48598

GCF of denominators i.e. for 289,3247 is 17.

Thus, LCM of Fractions is 48598/17.Finally, LCM of Fractions for 11/289, 4418/3247 is 48598/17.