Least Common Multiple of 260/48, 298/4791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 260/48, 298/4791 quickly i.e. 38740/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/48, 298/4791 is 38740/3.

LCM(260/48, 298/4791) = 38740/3

LCM of 260/48, 298/4791

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 260/48,298/4791

Given numbers are 260/48,298/4791

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 260,298

Least Common Multiple of Numerators i.e. LCM of 260,298 is 38740.

GCF of Denominators means GCF of 48,4791 as per the given fractions.

GCF of 48,4791 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,298

LCM of Fractions 260/48,298/4791 is 38740/3

2 260, 298
130, 149

∴ So the LCM of the given numbers is 2 x 130 x 149 = 38740

Least Common Multiple of 260,298 with GCF Formula

Least Common Multiple of 260,298 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 260,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,298) = 2

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

GCF(260,298) x common factors =2 x 1 = 2

LCM(260,298) = ( 260 × 298 ) / 2

LCM(260,298) = 77480 / 2

LCM(260,298) = 38740


Lets's calculate GCF of 48,4791

3 48, 4791
16, 1597

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38740/3

Therefore the LCM of Fractions 260/48,298/4791 is 38740/3

Greatest Common Factor of 48,4791 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,4791 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 4791

List of positive integer factors of 4791 that divides 4791 without a remainder.

1,3,1597,4791

Greatest Common Factor

We found the factors 48,4791 . The biggest common factor number is the GCF number.
So the greatest common factor 48,4791 is 3.


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 260/48, 298/4791

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 260/48, 298/4791?

Answer: LCM of Numerators as per given numbers 260/48, 298/4791 is

LCM of Numerators i.e. for 260,298 is 38740

GCF of denominators i.e. for 48,4791 is 3.

Thus, LCM of Fractions is 38740/3.Finally, LCM of Fractions for 260/48, 298/4791 is 38740/3.