Least Common Multiple of 33/443, 7491/8304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/443, 7491/8304 quickly i.e. 7491 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/443, 7491/8304 is 7491.

LCM(33/443, 7491/8304) = 7491

LCM of 33/443, 7491/8304

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 33/443,7491/8304

Given numbers are 33/443,7491/8304

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 33,7491

Least Common Multiple of Numerators i.e. LCM of 33,7491 is 7491.

GCF of Denominators means GCF of 443,8304 as per the given fractions.

GCF of 443,8304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,7491

LCM of Fractions 33/443,7491/8304 is 7491

3 33, 7491
11 11, 2497
1, 227

∴ So the LCM of the given numbers is 3 x 11 x 1 x 227 = 7491

Least Common Multiple of 33,7491 with GCF Formula

Least Common Multiple of 33,7491 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 33,7491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,7491) = 33

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

GCF(33,7491) x common factors =33 x 1 = 33

LCM(33,7491) = ( 33 × 7491 ) / 33

LCM(33,7491) = 247203 / 33

LCM(33,7491) = 7491


Lets's calculate GCF of 443,8304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7491/1

Therefore the LCM of Fractions 33/443,7491/8304 is 7491

Greatest Common Factor of 443,8304 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,8304 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 8304

List of positive integer factors of 8304 that divides 8304 without a remainder.

1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304

Greatest Common Factor

We found the factors 443,8304 . The biggest common factor number is the GCF number.
So the greatest common factor 443,8304 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 33/443, 7491/8304

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 33/443, 7491/8304?

Answer: LCM of Numerators as per given numbers 33/443, 7491/8304 is

LCM of Numerators i.e. for 33,7491 is 7491

GCF of denominators i.e. for 443,8304 is 1.

Thus, LCM of Fractions is 7491.Finally, LCM of Fractions for 33/443, 7491/8304 is 7491.