Least Common Multiple of 500/28, 574/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/28, 574/882 quickly i.e. 10250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/28, 574/882 is 10250.

LCM(500/28, 574/882) = 10250

LCM of 500/28, 574/882

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 500/28,574/882

Given numbers are 500/28,574/882

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 500,574

Least Common Multiple of Numerators i.e. LCM of 500,574 is 143500.

GCF of Denominators means GCF of 28,882 as per the given fractions.

GCF of 28,882 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,574

LCM of Fractions 500/28,574/882 is 10250

2 500, 574
250, 287

∴ So the LCM of the given numbers is 2 x 250 x 287 = 143500

Least Common Multiple of 500,574 with GCF Formula

Least Common Multiple of 500,574 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 500,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,574) = 2

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

GCF(500,574) x common factors =2 x 1 = 2

LCM(500,574) = ( 500 × 574 ) / 2

LCM(500,574) = 287000 / 2

LCM(500,574) = 143500


Lets's calculate GCF of 28,882

2 28, 882
7 14, 441
2, 63

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143500/14

Therefore the LCM of Fractions 500/28,574/882 is 10250

Greatest Common Factor of 28,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,882 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 28,882 . The biggest common factor number is the GCF number.
So the greatest common factor 28,882 is 14.


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 500/28, 574/882

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 500/28, 574/882?

Answer: LCM of Numerators as per given numbers 500/28, 574/882 is

LCM of Numerators i.e. for 500,574 is 143500

GCF of denominators i.e. for 28,882 is 14.

Thus, LCM of Fractions is 10250.Finally, LCM of Fractions for 500/28, 574/882 is 10250.