Least Common Multiple of 640/576, 2659/4738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 640/576, 2659/4738 quickly i.e. 850880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 640/576, 2659/4738 is 850880.

LCM(640/576, 2659/4738) = 850880

LCM of 640/576, 2659/4738

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 640/576,2659/4738

Given numbers are 640/576,2659/4738

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 640,2659

Least Common Multiple of Numerators i.e. LCM of 640,2659 is 1701760.

GCF of Denominators means GCF of 576,4738 as per the given fractions.

GCF of 576,4738 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 640,2659

LCM of Fractions 640/576,2659/4738 is 850880

Given numbers has no common factors except 1. So, there LCM is their product i.e 1701760

Least Common Multiple of 640,2659 with GCF Formula

Least Common Multiple of 640,2659 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 640,2659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,2659) = 1

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

GCF(640,2659) x common factors =1 x 1 = 1

LCM(640,2659) = ( 640 × 2659 ) / 1

LCM(640,2659) = 1701760 / 1

LCM(640,2659) = 1701760


Lets's calculate GCF of 576,4738

2 576, 4738
288, 2369

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1701760/2

Therefore the LCM of Fractions 640/576,2659/4738 is 850880

Greatest Common Factor of 576,4738 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,4738 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 4738

List of positive integer factors of 4738 that divides 4738 without a remainder.

1,2,23,46,103,206,2369,4738

Greatest Common Factor

We found the factors 576,4738 . The biggest common factor number is the GCF number.
So the greatest common factor 576,4738 is 2.


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 640/576, 2659/4738

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 640/576, 2659/4738?

Answer: LCM of Numerators as per given numbers 640/576, 2659/4738 is

LCM of Numerators i.e. for 640,2659 is 1701760

GCF of denominators i.e. for 576,4738 is 2.

Thus, LCM of Fractions is 850880.Finally, LCM of Fractions for 640/576, 2659/4738 is 850880.