Least Common Multiple of 7184/481, 2725/7971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7184/481, 2725/7971 quickly i.e. 19576400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7184/481, 2725/7971 is 19576400.

LCM(7184/481, 2725/7971) = 19576400

LCM of 7184/481, 2725/7971

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 7184/481,2725/7971

Given numbers are 7184/481,2725/7971

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 7184,2725

Least Common Multiple of Numerators i.e. LCM of 7184,2725 is 19576400.

GCF of Denominators means GCF of 481,7971 as per the given fractions.

GCF of 481,7971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7184,2725

LCM of Fractions 7184/481,2725/7971 is 19576400

Given numbers has no common factors except 1. So, there LCM is their product i.e 19576400

Least Common Multiple of 7184,2725 with GCF Formula

Least Common Multiple of 7184,2725 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 7184,2725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7184,2725) = 1

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

GCF(7184,2725) x common factors =1 x 1 = 1

LCM(7184,2725) = ( 7184 × 2725 ) / 1

LCM(7184,2725) = 19576400 / 1

LCM(7184,2725) = 19576400


Lets's calculate GCF of 481,7971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19576400/1

Therefore the LCM of Fractions 7184/481,2725/7971 is 19576400

Greatest Common Factor of 481,7971 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,7971 By Matching Biggest Common Factor Method

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 7971

List of positive integer factors of 7971 that divides 7971 without a remainder.

1,3,2657,7971

Greatest Common Factor

We found the factors 481,7971 . The biggest common factor number is the GCF number.
So the greatest common factor 481,7971 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 7184/481, 2725/7971

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 7184/481, 2725/7971?

Answer: LCM of Numerators as per given numbers 7184/481, 2725/7971 is

LCM of Numerators i.e. for 7184,2725 is 19576400

GCF of denominators i.e. for 481,7971 is 1.

Thus, LCM of Fractions is 19576400.Finally, LCM of Fractions for 7184/481, 2725/7971 is 19576400.