Least Common Multiple of 2441/762, 9586/5760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2441/762, 9586/5760 quickly i.e. 23399426/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2441/762, 9586/5760 is 23399426/6.

LCM(2441/762, 9586/5760) = 23399426/6

LCM of 2441/762, 9586/5760

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 2441/762,9586/5760

Given numbers are 2441/762,9586/5760

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 2441,9586

Least Common Multiple of Numerators i.e. LCM of 2441,9586 is 23399426.

GCF of Denominators means GCF of 762,5760 as per the given fractions.

GCF of 762,5760 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2441,9586

LCM of Fractions 2441/762,9586/5760 is 23399426/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 23399426

Least Common Multiple of 2441,9586 with GCF Formula

Least Common Multiple of 2441,9586 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 2441,9586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2441,9586) = 1

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

GCF(2441,9586) x common factors =1 x 1 = 1

LCM(2441,9586) = ( 2441 × 9586 ) / 1

LCM(2441,9586) = 23399426 / 1

LCM(2441,9586) = 23399426


Lets's calculate GCF of 762,5760

2 762, 5760
3 381, 2880
127, 960

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23399426/6

Therefore the LCM of Fractions 2441/762,9586/5760 is 23399426/6

Greatest Common Factor of 762,5760 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,5760 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 5760

List of positive integer factors of 5760 that divides 5760 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,128,144,160,180,192,240,288,320,360,384,480,576,640,720,960,1152,1440,1920,2880,5760

Greatest Common Factor

We found the factors 762,5760 . The biggest common factor number is the GCF number.
So the greatest common factor 762,5760 is 6.


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 2441/762, 9586/5760

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 2441/762, 9586/5760?

Answer: LCM of Numerators as per given numbers 2441/762, 9586/5760 is

LCM of Numerators i.e. for 2441,9586 is 23399426

GCF of denominators i.e. for 762,5760 is 6.

Thus, LCM of Fractions is 23399426/6.Finally, LCM of Fractions for 2441/762, 9586/5760 is 23399426/6.