Least Common Multiple of 9288/352, 5284/5697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9288/352, 5284/5697 quickly i.e. 12269448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9288/352, 5284/5697 is 12269448.

LCM(9288/352, 5284/5697) = 12269448

LCM of 9288/352, 5284/5697

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 9288/352,5284/5697

Given numbers are 9288/352,5284/5697

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 9288,5284

Least Common Multiple of Numerators i.e. LCM of 9288,5284 is 12269448.

GCF of Denominators means GCF of 352,5697 as per the given fractions.

GCF of 352,5697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9288,5284

LCM of Fractions 9288/352,5284/5697 is 12269448

2 9288, 5284
2 4644, 2642
2322, 1321

∴ So the LCM of the given numbers is 2 x 2 x 2322 x 1321 = 12269448

Least Common Multiple of 9288,5284 with GCF Formula

Least Common Multiple of 9288,5284 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 9288,5284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9288,5284) = 4

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

GCF(9288,5284) x common factors =4 x 1 = 4

LCM(9288,5284) = ( 9288 × 5284 ) / 4

LCM(9288,5284) = 49077792 / 4

LCM(9288,5284) = 12269448


Lets's calculate GCF of 352,5697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12269448/1

Therefore the LCM of Fractions 9288/352,5284/5697 is 12269448

Greatest Common Factor of 352,5697 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,5697 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 5697

List of positive integer factors of 5697 that divides 5697 without a remainder.

1,3,9,27,211,633,1899,5697

Greatest Common Factor

We found the factors 352,5697 . The biggest common factor number is the GCF number.
So the greatest common factor 352,5697 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 9288/352, 5284/5697

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 9288/352, 5284/5697?

Answer: LCM of Numerators as per given numbers 9288/352, 5284/5697 is

LCM of Numerators i.e. for 9288,5284 is 12269448

GCF of denominators i.e. for 352,5697 is 1.

Thus, LCM of Fractions is 12269448.Finally, LCM of Fractions for 9288/352, 5284/5697 is 12269448.