Least Common Multiple of 6636/217, 4034/6913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6636/217, 4034/6913 quickly i.e. 13384812/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6636/217, 4034/6913 is 13384812/31.

LCM(6636/217, 4034/6913) = 13384812/31

LCM of 6636/217, 4034/6913

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 6636/217,4034/6913

Given numbers are 6636/217,4034/6913

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 6636,4034

Least Common Multiple of Numerators i.e. LCM of 6636,4034 is 13384812.

GCF of Denominators means GCF of 217,6913 as per the given fractions.

GCF of 217,6913 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6636,4034

LCM of Fractions 6636/217,4034/6913 is 13384812/31

2 6636, 4034
3318, 2017

∴ So the LCM of the given numbers is 2 x 3318 x 2017 = 13384812

Least Common Multiple of 6636,4034 with GCF Formula

Least Common Multiple of 6636,4034 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 6636,4034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6636,4034) = 2

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

GCF(6636,4034) x common factors =2 x 1 = 2

LCM(6636,4034) = ( 6636 × 4034 ) / 2

LCM(6636,4034) = 26769624 / 2

LCM(6636,4034) = 13384812


Lets's calculate GCF of 217,6913

31 217, 6913
7, 223

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13384812/31

Therefore the LCM of Fractions 6636/217,4034/6913 is 13384812/31

Greatest Common Factor of 217,6913 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,6913 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 6913

List of positive integer factors of 6913 that divides 6913 without a remainder.

1,31,223,6913

Greatest Common Factor

We found the factors 217,6913 . The biggest common factor number is the GCF number.
So the greatest common factor 217,6913 is 31.


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 6636/217, 4034/6913

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 6636/217, 4034/6913?

Answer: LCM of Numerators as per given numbers 6636/217, 4034/6913 is

LCM of Numerators i.e. for 6636,4034 is 13384812

GCF of denominators i.e. for 217,6913 is 31.

Thus, LCM of Fractions is 13384812/31.Finally, LCM of Fractions for 6636/217, 4034/6913 is 13384812/31.