Least Common Multiple of 2641/558, 7071/3618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2641/558, 7071/3618 quickly i.e. 18674511/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2641/558, 7071/3618 is 18674511/18.

LCM(2641/558, 7071/3618) = 18674511/18

LCM of 2641/558, 7071/3618

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 2641/558,7071/3618

Given numbers are 2641/558,7071/3618

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 2641,7071

Least Common Multiple of Numerators i.e. LCM of 2641,7071 is 18674511.

GCF of Denominators means GCF of 558,3618 as per the given fractions.

GCF of 558,3618 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2641,7071

LCM of Fractions 2641/558,7071/3618 is 18674511/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 18674511

Least Common Multiple of 2641,7071 with GCF Formula

Least Common Multiple of 2641,7071 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 2641,7071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2641,7071) = 1

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

GCF(2641,7071) x common factors =1 x 1 = 1

LCM(2641,7071) = ( 2641 × 7071 ) / 1

LCM(2641,7071) = 18674511 / 1

LCM(2641,7071) = 18674511


Lets's calculate GCF of 558,3618

2 558, 3618
3 279, 1809
3 93, 603
31, 201

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18674511/18

Therefore the LCM of Fractions 2641/558,7071/3618 is 18674511/18

Greatest Common Factor of 558,3618 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,3618 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 3618

List of positive integer factors of 3618 that divides 3618 without a remainder.

1,2,3,6,9,18,27,54,67,134,201,402,603,1206,1809,3618

Greatest Common Factor

We found the factors 558,3618 . The biggest common factor number is the GCF number.
So the greatest common factor 558,3618 is 18.


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 2641/558, 7071/3618

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 2641/558, 7071/3618?

Answer: LCM of Numerators as per given numbers 2641/558, 7071/3618 is

LCM of Numerators i.e. for 2641,7071 is 18674511

GCF of denominators i.e. for 558,3618 is 18.

Thus, LCM of Fractions is 18674511/18.Finally, LCM of Fractions for 2641/558, 7071/3618 is 18674511/18.