Least Common Multiple of 260/96, 755/2841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 260/96, 755/2841 quickly i.e. 39260/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/96, 755/2841 is 39260/3.

LCM(260/96, 755/2841) = 39260/3

LCM of 260/96, 755/2841

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 260/96,755/2841

Given numbers are 260/96,755/2841

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 260,755

Least Common Multiple of Numerators i.e. LCM of 260,755 is 39260.

GCF of Denominators means GCF of 96,2841 as per the given fractions.

GCF of 96,2841 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,755

LCM of Fractions 260/96,755/2841 is 39260/3

5 260, 755
52, 151

∴ So the LCM of the given numbers is 5 x 52 x 151 = 39260

Least Common Multiple of 260,755 with GCF Formula

Least Common Multiple of 260,755 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 260,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,755) = 5

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

GCF(260,755) x common factors =5 x 1 = 5

LCM(260,755) = ( 260 × 755 ) / 5

LCM(260,755) = 196300 / 5

LCM(260,755) = 39260


Lets's calculate GCF of 96,2841

3 96, 2841
32, 947

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39260/3

Therefore the LCM of Fractions 260/96,755/2841 is 39260/3

Greatest Common Factor of 96,2841 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,2841 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 2841

List of positive integer factors of 2841 that divides 2841 without a remainder.

1,3,947,2841

Greatest Common Factor

We found the factors 96,2841 . The biggest common factor number is the GCF number.
So the greatest common factor 96,2841 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 260/96, 755/2841

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 260/96, 755/2841?

Answer: LCM of Numerators as per given numbers 260/96, 755/2841 is

LCM of Numerators i.e. for 260,755 is 39260

GCF of denominators i.e. for 96,2841 is 3.

Thus, LCM of Fractions is 39260/3.Finally, LCM of Fractions for 260/96, 755/2841 is 39260/3.