Least Common Multiple of 2823/489, 1895/7675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2823/489, 1895/7675 quickly i.e. 5349585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2823/489, 1895/7675 is 5349585.

LCM(2823/489, 1895/7675) = 5349585

LCM of 2823/489, 1895/7675

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 2823/489,1895/7675

Given numbers are 2823/489,1895/7675

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 2823,1895

Least Common Multiple of Numerators i.e. LCM of 2823,1895 is 5349585.

GCF of Denominators means GCF of 489,7675 as per the given fractions.

GCF of 489,7675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2823,1895

LCM of Fractions 2823/489,1895/7675 is 5349585

Given numbers has no common factors except 1. So, there LCM is their product i.e 5349585

Least Common Multiple of 2823,1895 with GCF Formula

Least Common Multiple of 2823,1895 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 2823,1895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2823,1895) = 1

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

GCF(2823,1895) x common factors =1 x 1 = 1

LCM(2823,1895) = ( 2823 × 1895 ) / 1

LCM(2823,1895) = 5349585 / 1

LCM(2823,1895) = 5349585


Lets's calculate GCF of 489,7675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5349585/1

Therefore the LCM of Fractions 2823/489,1895/7675 is 5349585

Greatest Common Factor of 489,7675 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,7675 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 7675

List of positive integer factors of 7675 that divides 7675 without a remainder.

1,5,25,307,1535,7675

Greatest Common Factor

We found the factors 489,7675 . The biggest common factor number is the GCF number.
So the greatest common factor 489,7675 is 1.


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 2823/489, 1895/7675

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 2823/489, 1895/7675?

Answer: LCM of Numerators as per given numbers 2823/489, 1895/7675 is

LCM of Numerators i.e. for 2823,1895 is 5349585

GCF of denominators i.e. for 489,7675 is 1.

Thus, LCM of Fractions is 5349585.Finally, LCM of Fractions for 2823/489, 1895/7675 is 5349585.