Least Common Multiple of 4431/320, 9745/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4431/320, 9745/238 quickly i.e. 43180095/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4431/320, 9745/238 is 43180095/2.

LCM(4431/320, 9745/238) = 43180095/2

LCM of 4431/320, 9745/238

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 4431/320,9745/238

Given numbers are 4431/320,9745/238

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 4431,9745

Least Common Multiple of Numerators i.e. LCM of 4431,9745 is 43180095.

GCF of Denominators means GCF of 320,238 as per the given fractions.

GCF of 320,238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4431,9745

LCM of Fractions 4431/320,9745/238 is 43180095/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 43180095

Least Common Multiple of 4431,9745 with GCF Formula

Least Common Multiple of 4431,9745 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 4431,9745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4431,9745) = 1

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

GCF(4431,9745) x common factors =1 x 1 = 1

LCM(4431,9745) = ( 4431 × 9745 ) / 1

LCM(4431,9745) = 43180095 / 1

LCM(4431,9745) = 43180095


Lets's calculate GCF of 320,238

2 320, 238
160, 119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43180095/2

Therefore the LCM of Fractions 4431/320,9745/238 is 43180095/2

Greatest Common Factor of 320,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,238 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 238

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

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

Greatest Common Factor

We found the factors 320,238 . The biggest common factor number is the GCF number.
So the greatest common factor 320,238 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 4431/320, 9745/238

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 4431/320, 9745/238?

Answer: LCM of Numerators as per given numbers 4431/320, 9745/238 is

LCM of Numerators i.e. for 4431,9745 is 43180095

GCF of denominators i.e. for 320,238 is 2.

Thus, LCM of Fractions is 43180095/2.Finally, LCM of Fractions for 4431/320, 9745/238 is 43180095/2.