Least Common Multiple of 5336/199, 7866/3915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5336/199, 7866/3915 quickly i.e. 912456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5336/199, 7866/3915 is 912456.

LCM(5336/199, 7866/3915) = 912456

LCM of 5336/199, 7866/3915

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 5336/199,7866/3915

Given numbers are 5336/199,7866/3915

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 5336,7866

Least Common Multiple of Numerators i.e. LCM of 5336,7866 is 912456.

GCF of Denominators means GCF of 199,3915 as per the given fractions.

GCF of 199,3915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5336,7866

LCM of Fractions 5336/199,7866/3915 is 912456

2 5336, 7866
23 2668, 3933
116, 171

∴ So the LCM of the given numbers is 2 x 23 x 116 x 171 = 912456

Least Common Multiple of 5336,7866 with GCF Formula

Least Common Multiple of 5336,7866 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 5336,7866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5336,7866) = 46

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

GCF(5336,7866) x common factors =46 x 1 = 46

LCM(5336,7866) = ( 5336 × 7866 ) / 46

LCM(5336,7866) = 41972976 / 46

LCM(5336,7866) = 912456


Lets's calculate GCF of 199,3915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 912456/1

Therefore the LCM of Fractions 5336/199,7866/3915 is 912456

Greatest Common Factor of 199,3915 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,3915 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 3915

List of positive integer factors of 3915 that divides 3915 without a remainder.

1,3,5,9,15,27,29,45,87,135,145,261,435,783,1305,3915

Greatest Common Factor

We found the factors 199,3915 . The biggest common factor number is the GCF number.
So the greatest common factor 199,3915 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 5336/199, 7866/3915

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 5336/199, 7866/3915?

Answer: LCM of Numerators as per given numbers 5336/199, 7866/3915 is

LCM of Numerators i.e. for 5336,7866 is 912456

GCF of denominators i.e. for 199,3915 is 1.

Thus, LCM of Fractions is 912456.Finally, LCM of Fractions for 5336/199, 7866/3915 is 912456.