Least Common Multiple of 4833/576, 7460/4861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4833/576, 7460/4861 quickly i.e. 36054180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4833/576, 7460/4861 is 36054180.

LCM(4833/576, 7460/4861) = 36054180

LCM of 4833/576, 7460/4861

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 4833/576,7460/4861

Given numbers are 4833/576,7460/4861

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 4833,7460

Least Common Multiple of Numerators i.e. LCM of 4833,7460 is 36054180.

GCF of Denominators means GCF of 576,4861 as per the given fractions.

GCF of 576,4861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4833,7460

LCM of Fractions 4833/576,7460/4861 is 36054180

Given numbers has no common factors except 1. So, there LCM is their product i.e 36054180

Least Common Multiple of 4833,7460 with GCF Formula

Least Common Multiple of 4833,7460 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 4833,7460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4833,7460) = 1

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

GCF(4833,7460) x common factors =1 x 1 = 1

LCM(4833,7460) = ( 4833 × 7460 ) / 1

LCM(4833,7460) = 36054180 / 1

LCM(4833,7460) = 36054180


Lets's calculate GCF of 576,4861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36054180/1

Therefore the LCM of Fractions 4833/576,7460/4861 is 36054180

Greatest Common Factor of 576,4861 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,4861 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 4861

List of positive integer factors of 4861 that divides 4861 without a remainder.

1,4861

Greatest Common Factor

We found the factors 576,4861 . The biggest common factor number is the GCF number.
So the greatest common factor 576,4861 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 4833/576, 7460/4861

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 4833/576, 7460/4861?

Answer: LCM of Numerators as per given numbers 4833/576, 7460/4861 is

LCM of Numerators i.e. for 4833,7460 is 36054180

GCF of denominators i.e. for 576,4861 is 1.

Thus, LCM of Fractions is 36054180.Finally, LCM of Fractions for 4833/576, 7460/4861 is 36054180.