Least Common Multiple of 504/12, 802/2287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 504/12, 802/2287 quickly i.e. 202104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/12, 802/2287 is 202104.

LCM(504/12, 802/2287) = 202104

LCM of 504/12, 802/2287

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 504/12,802/2287

Given numbers are 504/12,802/2287

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 504,802

Least Common Multiple of Numerators i.e. LCM of 504,802 is 202104.

GCF of Denominators means GCF of 12,2287 as per the given fractions.

GCF of 12,2287 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,802

LCM of Fractions 504/12,802/2287 is 202104

2 504, 802
252, 401

∴ So the LCM of the given numbers is 2 x 252 x 401 = 202104

Least Common Multiple of 504,802 with GCF Formula

Least Common Multiple of 504,802 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 504,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,802) = 2

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

GCF(504,802) x common factors =2 x 1 = 2

LCM(504,802) = ( 504 × 802 ) / 2

LCM(504,802) = 404208 / 2

LCM(504,802) = 202104


Lets's calculate GCF of 12,2287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202104/1

Therefore the LCM of Fractions 504/12,802/2287 is 202104

Greatest Common Factor of 12,2287 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,2287 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 2287

List of positive integer factors of 2287 that divides 2287 without a remainder.

1,2287

Greatest Common Factor

We found the factors 12,2287 . The biggest common factor number is the GCF number.
So the greatest common factor 12,2287 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 504/12, 802/2287

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 504/12, 802/2287?

Answer: LCM of Numerators as per given numbers 504/12, 802/2287 is

LCM of Numerators i.e. for 504,802 is 202104

GCF of denominators i.e. for 12,2287 is 1.

Thus, LCM of Fractions is 202104.Finally, LCM of Fractions for 504/12, 802/2287 is 202104.