Least Common Multiple of 2728/718, 9181/3421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2728/718, 9181/3421 quickly i.e. 25045768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2728/718, 9181/3421 is 25045768.

LCM(2728/718, 9181/3421) = 25045768

LCM of 2728/718, 9181/3421

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 2728/718,9181/3421

Given numbers are 2728/718,9181/3421

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 2728,9181

Least Common Multiple of Numerators i.e. LCM of 2728,9181 is 25045768.

GCF of Denominators means GCF of 718,3421 as per the given fractions.

GCF of 718,3421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2728,9181

LCM of Fractions 2728/718,9181/3421 is 25045768

Given numbers has no common factors except 1. So, there LCM is their product i.e 25045768

Least Common Multiple of 2728,9181 with GCF Formula

Least Common Multiple of 2728,9181 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 2728,9181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2728,9181) = 1

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

GCF(2728,9181) x common factors =1 x 1 = 1

LCM(2728,9181) = ( 2728 × 9181 ) / 1

LCM(2728,9181) = 25045768 / 1

LCM(2728,9181) = 25045768


Lets's calculate GCF of 718,3421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25045768/1

Therefore the LCM of Fractions 2728/718,9181/3421 is 25045768

Greatest Common Factor of 718,3421 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,3421 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 3421

List of positive integer factors of 3421 that divides 3421 without a remainder.

1,11,311,3421

Greatest Common Factor

We found the factors 718,3421 . The biggest common factor number is the GCF number.
So the greatest common factor 718,3421 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 2728/718, 9181/3421

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 2728/718, 9181/3421?

Answer: LCM of Numerators as per given numbers 2728/718, 9181/3421 is

LCM of Numerators i.e. for 2728,9181 is 25045768

GCF of denominators i.e. for 718,3421 is 1.

Thus, LCM of Fractions is 25045768.Finally, LCM of Fractions for 2728/718, 9181/3421 is 25045768.