Least Common Multiple of 6663/735, 4096/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6663/735, 4096/431 quickly i.e. 27291648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6663/735, 4096/431 is 27291648.

LCM(6663/735, 4096/431) = 27291648

LCM of 6663/735, 4096/431

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 6663/735,4096/431

Given numbers are 6663/735,4096/431

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 6663,4096

Least Common Multiple of Numerators i.e. LCM of 6663,4096 is 27291648.

GCF of Denominators means GCF of 735,431 as per the given fractions.

GCF of 735,431 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6663,4096

LCM of Fractions 6663/735,4096/431 is 27291648

Given numbers has no common factors except 1. So, there LCM is their product i.e 27291648

Least Common Multiple of 6663,4096 with GCF Formula

Least Common Multiple of 6663,4096 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 6663,4096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6663,4096) = 1

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

GCF(6663,4096) x common factors =1 x 1 = 1

LCM(6663,4096) = ( 6663 × 4096 ) / 1

LCM(6663,4096) = 27291648 / 1

LCM(6663,4096) = 27291648


Lets's calculate GCF of 735,431

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27291648/1

Therefore the LCM of Fractions 6663/735,4096/431 is 27291648

Greatest Common Factor of 735,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,431 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 735,431 . The biggest common factor number is the GCF number.
So the greatest common factor 735,431 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6663/735, 4096/431

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 6663/735, 4096/431?

Answer: LCM of Numerators as per given numbers 6663/735, 4096/431 is

LCM of Numerators i.e. for 6663,4096 is 27291648

GCF of denominators i.e. for 735,431 is 1.

Thus, LCM of Fractions is 27291648.Finally, LCM of Fractions for 6663/735, 4096/431 is 27291648.