Least Common Multiple of 3048/769, 3783/9083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3048/769, 3783/9083 quickly i.e. 3843528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3048/769, 3783/9083 is 3843528.

LCM(3048/769, 3783/9083) = 3843528

LCM of 3048/769, 3783/9083

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 3048/769,3783/9083

Given numbers are 3048/769,3783/9083

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 3048,3783

Least Common Multiple of Numerators i.e. LCM of 3048,3783 is 3843528.

GCF of Denominators means GCF of 769,9083 as per the given fractions.

GCF of 769,9083 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3048,3783

LCM of Fractions 3048/769,3783/9083 is 3843528

3 3048, 3783
1016, 1261

∴ So the LCM of the given numbers is 3 x 1016 x 1261 = 3843528

Least Common Multiple of 3048,3783 with GCF Formula

Least Common Multiple of 3048,3783 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 3048,3783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3048,3783) = 3

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

GCF(3048,3783) x common factors =3 x 1 = 3

LCM(3048,3783) = ( 3048 × 3783 ) / 3

LCM(3048,3783) = 11530584 / 3

LCM(3048,3783) = 3843528


Lets's calculate GCF of 769,9083

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3843528/1

Therefore the LCM of Fractions 3048/769,3783/9083 is 3843528

Greatest Common Factor of 769,9083 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,9083 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 9083

List of positive integer factors of 9083 that divides 9083 without a remainder.

1,31,293,9083

Greatest Common Factor

We found the factors 769,9083 . The biggest common factor number is the GCF number.
So the greatest common factor 769,9083 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 3048/769, 3783/9083

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 3048/769, 3783/9083?

Answer: LCM of Numerators as per given numbers 3048/769, 3783/9083 is

LCM of Numerators i.e. for 3048,3783 is 3843528

GCF of denominators i.e. for 769,9083 is 1.

Thus, LCM of Fractions is 3843528.Finally, LCM of Fractions for 3048/769, 3783/9083 is 3843528.