Least Common Multiple of 502/903, 5538/5562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 502/903, 5538/5562 quickly i.e. 463346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 502/903, 5538/5562 is 463346.

LCM(502/903, 5538/5562) = 463346

LCM of 502/903, 5538/5562

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 502/903,5538/5562

Given numbers are 502/903,5538/5562

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 502,5538

Least Common Multiple of Numerators i.e. LCM of 502,5538 is 1390038.

GCF of Denominators means GCF of 903,5562 as per the given fractions.

GCF of 903,5562 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 502,5538

LCM of Fractions 502/903,5538/5562 is 463346

2 502, 5538
251, 2769

∴ So the LCM of the given numbers is 2 x 251 x 2769 = 1390038

Least Common Multiple of 502,5538 with GCF Formula

Least Common Multiple of 502,5538 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 502,5538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,5538) = 2

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

GCF(502,5538) x common factors =2 x 1 = 2

LCM(502,5538) = ( 502 × 5538 ) / 2

LCM(502,5538) = 2780076 / 2

LCM(502,5538) = 1390038


Lets's calculate GCF of 903,5562

3 903, 5562
301, 1854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1390038/3

Therefore the LCM of Fractions 502/903,5538/5562 is 463346

Greatest Common Factor of 903,5562 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,5562 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 5562

List of positive integer factors of 5562 that divides 5562 without a remainder.

1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562

Greatest Common Factor

We found the factors 903,5562 . The biggest common factor number is the GCF number.
So the greatest common factor 903,5562 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 502/903, 5538/5562

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 502/903, 5538/5562?

Answer: LCM of Numerators as per given numbers 502/903, 5538/5562 is

LCM of Numerators i.e. for 502,5538 is 1390038

GCF of denominators i.e. for 903,5562 is 3.

Thus, LCM of Fractions is 463346.Finally, LCM of Fractions for 502/903, 5538/5562 is 463346.