Least Common Multiple of 9288/572, 5007/4349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9288/572, 5007/4349 quickly i.e. 15501672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9288/572, 5007/4349 is 15501672.

LCM(9288/572, 5007/4349) = 15501672

LCM of 9288/572, 5007/4349

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 9288/572,5007/4349

Given numbers are 9288/572,5007/4349

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 9288,5007

Least Common Multiple of Numerators i.e. LCM of 9288,5007 is 15501672.

GCF of Denominators means GCF of 572,4349 as per the given fractions.

GCF of 572,4349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9288,5007

LCM of Fractions 9288/572,5007/4349 is 15501672

3 9288, 5007
3096, 1669

∴ So the LCM of the given numbers is 3 x 3096 x 1669 = 15501672

Least Common Multiple of 9288,5007 with GCF Formula

Least Common Multiple of 9288,5007 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 9288,5007 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9288,5007) = 3

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

GCF(9288,5007) x common factors =3 x 1 = 3

LCM(9288,5007) = ( 9288 × 5007 ) / 3

LCM(9288,5007) = 46505016 / 3

LCM(9288,5007) = 15501672


Lets's calculate GCF of 572,4349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15501672/1

Therefore the LCM of Fractions 9288/572,5007/4349 is 15501672

Greatest Common Factor of 572,4349 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,4349 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 4349

List of positive integer factors of 4349 that divides 4349 without a remainder.

1,4349

Greatest Common Factor

We found the factors 572,4349 . The biggest common factor number is the GCF number.
So the greatest common factor 572,4349 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9288/572, 5007/4349

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 9288/572, 5007/4349?

Answer: LCM of Numerators as per given numbers 9288/572, 5007/4349 is

LCM of Numerators i.e. for 9288,5007 is 15501672

GCF of denominators i.e. for 572,4349 is 1.

Thus, LCM of Fractions is 15501672.Finally, LCM of Fractions for 9288/572, 5007/4349 is 15501672.