Least Common Multiple of 5253/824, 4242/9159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5253/824, 4242/9159 quickly i.e. 7427742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5253/824, 4242/9159 is 7427742.

LCM(5253/824, 4242/9159) = 7427742

LCM of 5253/824, 4242/9159

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 5253/824,4242/9159

Given numbers are 5253/824,4242/9159

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 5253,4242

Least Common Multiple of Numerators i.e. LCM of 5253,4242 is 7427742.

GCF of Denominators means GCF of 824,9159 as per the given fractions.

GCF of 824,9159 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5253,4242

LCM of Fractions 5253/824,4242/9159 is 7427742

3 5253, 4242
1751, 1414

∴ So the LCM of the given numbers is 3 x 1751 x 1414 = 7427742

Least Common Multiple of 5253,4242 with GCF Formula

Least Common Multiple of 5253,4242 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 5253,4242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5253,4242) = 3

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

GCF(5253,4242) x common factors =3 x 1 = 3

LCM(5253,4242) = ( 5253 × 4242 ) / 3

LCM(5253,4242) = 22283226 / 3

LCM(5253,4242) = 7427742


Lets's calculate GCF of 824,9159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7427742/1

Therefore the LCM of Fractions 5253/824,4242/9159 is 7427742

Greatest Common Factor of 824,9159 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,9159 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 9159

List of positive integer factors of 9159 that divides 9159 without a remainder.

1,3,43,71,129,213,3053,9159

Greatest Common Factor

We found the factors 824,9159 . The biggest common factor number is the GCF number.
So the greatest common factor 824,9159 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5253/824, 4242/9159

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 5253/824, 4242/9159?

Answer: LCM of Numerators as per given numbers 5253/824, 4242/9159 is

LCM of Numerators i.e. for 5253,4242 is 7427742

GCF of denominators i.e. for 824,9159 is 1.

Thus, LCM of Fractions is 7427742.Finally, LCM of Fractions for 5253/824, 4242/9159 is 7427742.