Least Common Multiple of 94/543, 32/443, 581/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/543, 32/443, 581/221 quickly i.e. 873824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/543, 32/443, 581/221 is 873824.

LCM(94/543, 32/443, 581/221) = 873824

LCM of 94/543, 32/443, 581/221

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 94/543,32/443,581/221

Given numbers are 94/543,32/443,581/221

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 94,32,581

Least Common Multiple of Numerators i.e. LCM of 94,32,581 is 873824.

GCF of Denominators means GCF of 543,443,221 as per the given fractions.

GCF of 543,443,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,32,581

LCM of Fractions 94/543,32/443,581/221 is 873824

2 94, 32, 581
47, 16, 581

∴ So the LCM of the given numbers is 2 x 47 x 16 x 581 = 873824

Least Common Multiple of 94,32,581 with GCF Formula

Least Common Multiple of 94,32,581 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 94,32,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,32,581) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,32,581) x common factors =1 x 2 = 2

LCM(94,32,581) = ( 94 × 32 × 581 ) / 2

LCM(94,32,581) = 1747648 / 2

LCM(94,32,581) = 873824


Lets's calculate GCF of 543,443,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 873824/1

Therefore the LCM of Fractions 94/543,32/443,581/221 is 873824

Greatest Common Factor of 543,443,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,443,221 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 443

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

1,443

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 543,443,221 . The biggest common factor number is the GCF number.
So the greatest common factor 543,443,221 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 94/543, 32/443, 581/221

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 94/543, 32/443, 581/221?

Answer: LCM of Numerators as per given numbers 94/543, 32/443, 581/221 is

LCM of Numerators i.e. for 94,32,581 is 873824

GCF of denominators i.e. for 543,443,221 is 1.

Thus, LCM of Fractions is 873824.Finally, LCM of Fractions for 94/543, 32/443, 581/221 is 873824.