Least Common Multiple of 7233/435, 4768/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7233/435, 4768/801 quickly i.e. 11495648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7233/435, 4768/801 is 11495648.

LCM(7233/435, 4768/801) = 11495648

LCM of 7233/435, 4768/801

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 7233/435,4768/801

Given numbers are 7233/435,4768/801

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 7233,4768

Least Common Multiple of Numerators i.e. LCM of 7233,4768 is 34486944.

GCF of Denominators means GCF of 435,801 as per the given fractions.

GCF of 435,801 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7233,4768

LCM of Fractions 7233/435,4768/801 is 11495648

Given numbers has no common factors except 1. So, there LCM is their product i.e 34486944

Least Common Multiple of 7233,4768 with GCF Formula

Least Common Multiple of 7233,4768 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 7233,4768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7233,4768) = 1

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

GCF(7233,4768) x common factors =1 x 1 = 1

LCM(7233,4768) = ( 7233 × 4768 ) / 1

LCM(7233,4768) = 34486944 / 1

LCM(7233,4768) = 34486944


Lets's calculate GCF of 435,801

3 435, 801
145, 267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34486944/3

Therefore the LCM of Fractions 7233/435,4768/801 is 11495648

Greatest Common Factor of 435,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,801 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 435,801 . The biggest common factor number is the GCF number.
So the greatest common factor 435,801 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7233/435, 4768/801

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 7233/435, 4768/801?

Answer: LCM of Numerators as per given numbers 7233/435, 4768/801 is

LCM of Numerators i.e. for 7233,4768 is 34486944

GCF of denominators i.e. for 435,801 is 3.

Thus, LCM of Fractions is 11495648.Finally, LCM of Fractions for 7233/435, 4768/801 is 11495648.