Least Common Multiple of 27/884, 4108/5174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 27/884, 4108/5174 quickly i.e. 4266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/884, 4108/5174 is 4266.

LCM(27/884, 4108/5174) = 4266

LCM of 27/884, 4108/5174

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 27/884,4108/5174

Given numbers are 27/884,4108/5174

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 27,4108

Least Common Multiple of Numerators i.e. LCM of 27,4108 is 110916.

GCF of Denominators means GCF of 884,5174 as per the given fractions.

GCF of 884,5174 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,4108

LCM of Fractions 27/884,4108/5174 is 4266

Given numbers has no common factors except 1. So, there LCM is their product i.e 110916

Least Common Multiple of 27,4108 with GCF Formula

Least Common Multiple of 27,4108 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 27,4108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,4108) = 1

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

GCF(27,4108) x common factors =1 x 1 = 1

LCM(27,4108) = ( 27 × 4108 ) / 1

LCM(27,4108) = 110916 / 1

LCM(27,4108) = 110916


Lets's calculate GCF of 884,5174

2 884, 5174
13 442, 2587
34, 199

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110916/26

Therefore the LCM of Fractions 27/884,4108/5174 is 4266

Greatest Common Factor of 884,5174 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,5174 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 5174

List of positive integer factors of 5174 that divides 5174 without a remainder.

1,2,13,26,199,398,2587,5174

Greatest Common Factor

We found the factors 884,5174 . The biggest common factor number is the GCF number.
So the greatest common factor 884,5174 is 26.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 27/884, 4108/5174

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 27/884, 4108/5174?

Answer: LCM of Numerators as per given numbers 27/884, 4108/5174 is

LCM of Numerators i.e. for 27,4108 is 110916

GCF of denominators i.e. for 884,5174 is 26.

Thus, LCM of Fractions is 4266.Finally, LCM of Fractions for 27/884, 4108/5174 is 4266.