Least Common Multiple of 199/23, 808/48, 473/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/23, 808/48, 473/191 quickly i.e. 76054616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/23, 808/48, 473/191 is 76054616.

LCM(199/23, 808/48, 473/191) = 76054616

LCM of 199/23, 808/48, 473/191

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 199/23,808/48,473/191

Given numbers are 199/23,808/48,473/191

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 199,808,473

Least Common Multiple of Numerators i.e. LCM of 199,808,473 is 76054616.

GCF of Denominators means GCF of 23,48,191 as per the given fractions.

GCF of 23,48,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,808,473

LCM of Fractions 199/23,808/48,473/191 is 76054616

Given numbers has no common factors except 1. So, there LCM is their product i.e 76054616

Least Common Multiple of 199,808,473 with GCF Formula

Least Common Multiple of 199,808,473 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 199,808,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,808,473) = 1

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

GCF(199,808,473) x common factors =1 x 1 = 1

LCM(199,808,473) = ( 199 × 808 × 473 ) / 1

LCM(199,808,473) = 76054616 / 1

LCM(199,808,473) = 76054616


Lets's calculate GCF of 23,48,191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76054616/1

Therefore the LCM of Fractions 199/23,808/48,473/191 is 76054616

Greatest Common Factor of 23,48,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,48,191 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 23,48,191 . The biggest common factor number is the GCF number.
So the greatest common factor 23,48,191 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 199/23, 808/48, 473/191

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 199/23, 808/48, 473/191?

Answer: LCM of Numerators as per given numbers 199/23, 808/48, 473/191 is

LCM of Numerators i.e. for 199,808,473 is 76054616

GCF of denominators i.e. for 23,48,191 is 1.

Thus, LCM of Fractions is 76054616.Finally, LCM of Fractions for 199/23, 808/48, 473/191 is 76054616.