Least Common Multiple of 565/238, 9504/2404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 565/238, 9504/2404 quickly i.e. 2684880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 565/238, 9504/2404 is 2684880.

LCM(565/238, 9504/2404) = 2684880

LCM of 565/238, 9504/2404

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 565/238,9504/2404

Given numbers are 565/238,9504/2404

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 565,9504

Least Common Multiple of Numerators i.e. LCM of 565,9504 is 5369760.

GCF of Denominators means GCF of 238,2404 as per the given fractions.

GCF of 238,2404 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 565,9504

LCM of Fractions 565/238,9504/2404 is 2684880

Given numbers has no common factors except 1. So, there LCM is their product i.e 5369760

Least Common Multiple of 565,9504 with GCF Formula

Least Common Multiple of 565,9504 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 565,9504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,9504) = 1

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

GCF(565,9504) x common factors =1 x 1 = 1

LCM(565,9504) = ( 565 × 9504 ) / 1

LCM(565,9504) = 5369760 / 1

LCM(565,9504) = 5369760


Lets's calculate GCF of 238,2404

2 238, 2404
119, 1202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5369760/2

Therefore the LCM of Fractions 565/238,9504/2404 is 2684880

Greatest Common Factor of 238,2404 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,2404 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 2404

List of positive integer factors of 2404 that divides 2404 without a remainder.

1,2,4,601,1202,2404

Greatest Common Factor

We found the factors 238,2404 . The biggest common factor number is the GCF number.
So the greatest common factor 238,2404 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 565/238, 9504/2404

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 565/238, 9504/2404?

Answer: LCM of Numerators as per given numbers 565/238, 9504/2404 is

LCM of Numerators i.e. for 565,9504 is 5369760

GCF of denominators i.e. for 238,2404 is 2.

Thus, LCM of Fractions is 2684880.Finally, LCM of Fractions for 565/238, 9504/2404 is 2684880.