Least Common Multiple of 3421/885, 2079/3447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3421/885, 2079/3447 quickly i.e. 215523 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3421/885, 2079/3447 is 215523.

LCM(3421/885, 2079/3447) = 215523

LCM of 3421/885, 2079/3447

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 3421/885,2079/3447

Given numbers are 3421/885,2079/3447

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 3421,2079

Least Common Multiple of Numerators i.e. LCM of 3421,2079 is 646569.

GCF of Denominators means GCF of 885,3447 as per the given fractions.

GCF of 885,3447 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3421,2079

LCM of Fractions 3421/885,2079/3447 is 215523

11 3421, 2079
311, 189

∴ So the LCM of the given numbers is 11 x 311 x 189 = 646569

Least Common Multiple of 3421,2079 with GCF Formula

Least Common Multiple of 3421,2079 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 3421,2079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3421,2079) = 11

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

GCF(3421,2079) x common factors =11 x 1 = 11

LCM(3421,2079) = ( 3421 × 2079 ) / 11

LCM(3421,2079) = 7112259 / 11

LCM(3421,2079) = 646569


Lets's calculate GCF of 885,3447

3 885, 3447
295, 1149

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 646569/3

Therefore the LCM of Fractions 3421/885,2079/3447 is 215523

Greatest Common Factor of 885,3447 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,3447 By Matching Biggest Common Factor Method

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 3447

List of positive integer factors of 3447 that divides 3447 without a remainder.

1,3,9,383,1149,3447

Greatest Common Factor

We found the factors 885,3447 . The biggest common factor number is the GCF number.
So the greatest common factor 885,3447 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3421/885, 2079/3447

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 3421/885, 2079/3447?

Answer: LCM of Numerators as per given numbers 3421/885, 2079/3447 is

LCM of Numerators i.e. for 3421,2079 is 646569

GCF of denominators i.e. for 885,3447 is 3.

Thus, LCM of Fractions is 215523.Finally, LCM of Fractions for 3421/885, 2079/3447 is 215523.