Least Common Multiple of 3385/669, 6293/4389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3385/669, 6293/4389 quickly i.e. 21301805/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3385/669, 6293/4389 is 21301805/3.

LCM(3385/669, 6293/4389) = 21301805/3

LCM of 3385/669, 6293/4389

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 3385/669,6293/4389

Given numbers are 3385/669,6293/4389

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 3385,6293

Least Common Multiple of Numerators i.e. LCM of 3385,6293 is 21301805.

GCF of Denominators means GCF of 669,4389 as per the given fractions.

GCF of 669,4389 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3385,6293

LCM of Fractions 3385/669,6293/4389 is 21301805/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 21301805

Least Common Multiple of 3385,6293 with GCF Formula

Least Common Multiple of 3385,6293 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 3385,6293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3385,6293) = 1

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

GCF(3385,6293) x common factors =1 x 1 = 1

LCM(3385,6293) = ( 3385 × 6293 ) / 1

LCM(3385,6293) = 21301805 / 1

LCM(3385,6293) = 21301805


Lets's calculate GCF of 669,4389

3 669, 4389
223, 1463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21301805/3

Therefore the LCM of Fractions 3385/669,6293/4389 is 21301805/3

Greatest Common Factor of 669,4389 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,4389 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 4389

List of positive integer factors of 4389 that divides 4389 without a remainder.

1,3,7,11,19,21,33,57,77,133,209,231,399,627,1463,4389

Greatest Common Factor

We found the factors 669,4389 . The biggest common factor number is the GCF number.
So the greatest common factor 669,4389 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3385/669, 6293/4389

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 3385/669, 6293/4389?

Answer: LCM of Numerators as per given numbers 3385/669, 6293/4389 is

LCM of Numerators i.e. for 3385,6293 is 21301805

GCF of denominators i.e. for 669,4389 is 3.

Thus, LCM of Fractions is 21301805/3.Finally, LCM of Fractions for 3385/669, 6293/4389 is 21301805/3.