Least Common Multiple of 1863/204, 2460/2789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1863/204, 2460/2789 quickly i.e. 1527660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1863/204, 2460/2789 is 1527660.

LCM(1863/204, 2460/2789) = 1527660

LCM of 1863/204, 2460/2789

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 1863/204,2460/2789

Given numbers are 1863/204,2460/2789

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 1863,2460

Least Common Multiple of Numerators i.e. LCM of 1863,2460 is 1527660.

GCF of Denominators means GCF of 204,2789 as per the given fractions.

GCF of 204,2789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1863,2460

LCM of Fractions 1863/204,2460/2789 is 1527660

3 1863, 2460
621, 820

∴ So the LCM of the given numbers is 3 x 621 x 820 = 1527660

Least Common Multiple of 1863,2460 with GCF Formula

Least Common Multiple of 1863,2460 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 1863,2460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1863,2460) = 3

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

GCF(1863,2460) x common factors =3 x 1 = 3

LCM(1863,2460) = ( 1863 × 2460 ) / 3

LCM(1863,2460) = 4582980 / 3

LCM(1863,2460) = 1527660


Lets's calculate GCF of 204,2789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1527660/1

Therefore the LCM of Fractions 1863/204,2460/2789 is 1527660

Greatest Common Factor of 204,2789 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,2789 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 2789

List of positive integer factors of 2789 that divides 2789 without a remainder.

1,2789

Greatest Common Factor

We found the factors 204,2789 . The biggest common factor number is the GCF number.
So the greatest common factor 204,2789 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 1863/204, 2460/2789

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 1863/204, 2460/2789?

Answer: LCM of Numerators as per given numbers 1863/204, 2460/2789 is

LCM of Numerators i.e. for 1863,2460 is 1527660

GCF of denominators i.e. for 204,2789 is 1.

Thus, LCM of Fractions is 1527660.Finally, LCM of Fractions for 1863/204, 2460/2789 is 1527660.