Least Common Multiple of 2728/363, 8896/5469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2728/363, 8896/5469 quickly i.e. 3033536/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2728/363, 8896/5469 is 3033536/3.

LCM(2728/363, 8896/5469) = 3033536/3

LCM of 2728/363, 8896/5469

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 2728/363,8896/5469

Given numbers are 2728/363,8896/5469

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 2728,8896

Least Common Multiple of Numerators i.e. LCM of 2728,8896 is 3033536.

GCF of Denominators means GCF of 363,5469 as per the given fractions.

GCF of 363,5469 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2728,8896

LCM of Fractions 2728/363,8896/5469 is 3033536/3

2 2728, 8896
2 1364, 4448
2 682, 2224
341, 1112

∴ So the LCM of the given numbers is 2 x 2 x 2 x 341 x 1112 = 3033536

Least Common Multiple of 2728,8896 with GCF Formula

Least Common Multiple of 2728,8896 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 2728,8896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2728,8896) = 8

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

GCF(2728,8896) x common factors =8 x 1 = 8

LCM(2728,8896) = ( 2728 × 8896 ) / 8

LCM(2728,8896) = 24268288 / 8

LCM(2728,8896) = 3033536


Lets's calculate GCF of 363,5469

3 363, 5469
121, 1823

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3033536/3

Therefore the LCM of Fractions 2728/363,8896/5469 is 3033536/3

Greatest Common Factor of 363,5469 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,5469 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 5469

List of positive integer factors of 5469 that divides 5469 without a remainder.

1,3,1823,5469

Greatest Common Factor

We found the factors 363,5469 . The biggest common factor number is the GCF number.
So the greatest common factor 363,5469 is 3.


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 2728/363, 8896/5469

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 2728/363, 8896/5469?

Answer: LCM of Numerators as per given numbers 2728/363, 8896/5469 is

LCM of Numerators i.e. for 2728,8896 is 3033536

GCF of denominators i.e. for 363,5469 is 3.

Thus, LCM of Fractions is 3033536/3.Finally, LCM of Fractions for 2728/363, 8896/5469 is 3033536/3.