Least Common Multiple of 5791/841, 9984/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5791/841, 9984/666 quickly i.e. 57817344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5791/841, 9984/666 is 57817344.

LCM(5791/841, 9984/666) = 57817344

LCM of 5791/841, 9984/666

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 5791/841,9984/666

Given numbers are 5791/841,9984/666

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 5791,9984

Least Common Multiple of Numerators i.e. LCM of 5791,9984 is 57817344.

GCF of Denominators means GCF of 841,666 as per the given fractions.

GCF of 841,666 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5791,9984

LCM of Fractions 5791/841,9984/666 is 57817344

Given numbers has no common factors except 1. So, there LCM is their product i.e 57817344

Least Common Multiple of 5791,9984 with GCF Formula

Least Common Multiple of 5791,9984 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 5791,9984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5791,9984) = 1

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

GCF(5791,9984) x common factors =1 x 1 = 1

LCM(5791,9984) = ( 5791 × 9984 ) / 1

LCM(5791,9984) = 57817344 / 1

LCM(5791,9984) = 57817344


Lets's calculate GCF of 841,666

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57817344/1

Therefore the LCM of Fractions 5791/841,9984/666 is 57817344

Greatest Common Factor of 841,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 841,666 By Matching Biggest Common Factor Method

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 841,666 . The biggest common factor number is the GCF number.
So the greatest common factor 841,666 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5791/841, 9984/666

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 5791/841, 9984/666?

Answer: LCM of Numerators as per given numbers 5791/841, 9984/666 is

LCM of Numerators i.e. for 5791,9984 is 57817344

GCF of denominators i.e. for 841,666 is 1.

Thus, LCM of Fractions is 57817344.Finally, LCM of Fractions for 5791/841, 9984/666 is 57817344.