Least Common Multiple of 2838/721, 4768/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2838/721, 4768/428 quickly i.e. 6765792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2838/721, 4768/428 is 6765792.

LCM(2838/721, 4768/428) = 6765792

LCM of 2838/721, 4768/428

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 2838/721,4768/428

Given numbers are 2838/721,4768/428

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 2838,4768

Least Common Multiple of Numerators i.e. LCM of 2838,4768 is 6765792.

GCF of Denominators means GCF of 721,428 as per the given fractions.

GCF of 721,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2838,4768

LCM of Fractions 2838/721,4768/428 is 6765792

2 2838, 4768
1419, 2384

∴ So the LCM of the given numbers is 2 x 1419 x 2384 = 6765792

Least Common Multiple of 2838,4768 with GCF Formula

Least Common Multiple of 2838,4768 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 2838,4768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2838,4768) = 2

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

GCF(2838,4768) x common factors =2 x 1 = 2

LCM(2838,4768) = ( 2838 × 4768 ) / 2

LCM(2838,4768) = 13531584 / 2

LCM(2838,4768) = 6765792


Lets's calculate GCF of 721,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6765792/1

Therefore the LCM of Fractions 2838/721,4768/428 is 6765792

Greatest Common Factor of 721,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,428 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 721,428 . The biggest common factor number is the GCF number.
So the greatest common factor 721,428 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 2838/721, 4768/428

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 2838/721, 4768/428?

Answer: LCM of Numerators as per given numbers 2838/721, 4768/428 is

LCM of Numerators i.e. for 2838,4768 is 6765792

GCF of denominators i.e. for 721,428 is 1.

Thus, LCM of Fractions is 6765792.Finally, LCM of Fractions for 2838/721, 4768/428 is 6765792.