Least Common Multiple of 5253/502, 9786/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5253/502, 9786/528 quickly i.e. 8567643 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5253/502, 9786/528 is 8567643.

LCM(5253/502, 9786/528) = 8567643

LCM of 5253/502, 9786/528

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 5253/502,9786/528

Given numbers are 5253/502,9786/528

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 5253,9786

Least Common Multiple of Numerators i.e. LCM of 5253,9786 is 17135286.

GCF of Denominators means GCF of 502,528 as per the given fractions.

GCF of 502,528 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5253,9786

LCM of Fractions 5253/502,9786/528 is 8567643

3 5253, 9786
1751, 3262

∴ So the LCM of the given numbers is 3 x 1751 x 3262 = 17135286

Least Common Multiple of 5253,9786 with GCF Formula

Least Common Multiple of 5253,9786 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 5253,9786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5253,9786) = 3

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

GCF(5253,9786) x common factors =3 x 1 = 3

LCM(5253,9786) = ( 5253 × 9786 ) / 3

LCM(5253,9786) = 51405858 / 3

LCM(5253,9786) = 17135286


Lets's calculate GCF of 502,528

2 502, 528
251, 264

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17135286/2

Therefore the LCM of Fractions 5253/502,9786/528 is 8567643

Greatest Common Factor of 502,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,528 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 502,528 . The biggest common factor number is the GCF number.
So the greatest common factor 502,528 is 2.


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 5253/502, 9786/528

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 5253/502, 9786/528?

Answer: LCM of Numerators as per given numbers 5253/502, 9786/528 is

LCM of Numerators i.e. for 5253,9786 is 17135286

GCF of denominators i.e. for 502,528 is 2.

Thus, LCM of Fractions is 8567643.Finally, LCM of Fractions for 5253/502, 9786/528 is 8567643.