Least Common Multiple of 21/155, 7191/1196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 21/155, 7191/1196 quickly i.e. 50337 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/155, 7191/1196 is 50337.

LCM(21/155, 7191/1196) = 50337

LCM of 21/155, 7191/1196

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 21/155,7191/1196

Given numbers are 21/155,7191/1196

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 21,7191

Least Common Multiple of Numerators i.e. LCM of 21,7191 is 50337.

GCF of Denominators means GCF of 155,1196 as per the given fractions.

GCF of 155,1196 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,7191

LCM of Fractions 21/155,7191/1196 is 50337

3 21, 7191
7, 2397

∴ So the LCM of the given numbers is 3 x 7 x 2397 = 50337

Least Common Multiple of 21,7191 with GCF Formula

Least Common Multiple of 21,7191 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 21,7191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,7191) = 3

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

GCF(21,7191) x common factors =3 x 1 = 3

LCM(21,7191) = ( 21 × 7191 ) / 3

LCM(21,7191) = 151011 / 3

LCM(21,7191) = 50337


Lets's calculate GCF of 155,1196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50337/1

Therefore the LCM of Fractions 21/155,7191/1196 is 50337

Greatest Common Factor of 155,1196 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,1196 By Matching Biggest Common Factor Method

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 1196

List of positive integer factors of 1196 that divides 1196 without a remainder.

1,2,4,13,23,26,46,52,92,299,598,1196

Greatest Common Factor

We found the factors 155,1196 . The biggest common factor number is the GCF number.
So the greatest common factor 155,1196 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 21/155, 7191/1196

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 21/155, 7191/1196?

Answer: LCM of Numerators as per given numbers 21/155, 7191/1196 is

LCM of Numerators i.e. for 21,7191 is 50337

GCF of denominators i.e. for 155,1196 is 1.

Thus, LCM of Fractions is 50337.Finally, LCM of Fractions for 21/155, 7191/1196 is 50337.