Least Common Multiple of 4231/208, 9872/605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4231/208, 9872/605 quickly i.e. 41768432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4231/208, 9872/605 is 41768432.

LCM(4231/208, 9872/605) = 41768432

LCM of 4231/208, 9872/605

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 4231/208,9872/605

Given numbers are 4231/208,9872/605

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 4231,9872

Least Common Multiple of Numerators i.e. LCM of 4231,9872 is 41768432.

GCF of Denominators means GCF of 208,605 as per the given fractions.

GCF of 208,605 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4231,9872

LCM of Fractions 4231/208,9872/605 is 41768432

Given numbers has no common factors except 1. So, there LCM is their product i.e 41768432

Least Common Multiple of 4231,9872 with GCF Formula

Least Common Multiple of 4231,9872 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 4231,9872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4231,9872) = 1

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

GCF(4231,9872) x common factors =1 x 1 = 1

LCM(4231,9872) = ( 4231 × 9872 ) / 1

LCM(4231,9872) = 41768432 / 1

LCM(4231,9872) = 41768432


Lets's calculate GCF of 208,605

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41768432/1

Therefore the LCM of Fractions 4231/208,9872/605 is 41768432

Greatest Common Factor of 208,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,605 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 208,605 . The biggest common factor number is the GCF number.
So the greatest common factor 208,605 is 1.


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 4231/208, 9872/605

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 4231/208, 9872/605?

Answer: LCM of Numerators as per given numbers 4231/208, 9872/605 is

LCM of Numerators i.e. for 4231,9872 is 41768432

GCF of denominators i.e. for 208,605 is 1.

Thus, LCM of Fractions is 41768432.Finally, LCM of Fractions for 4231/208, 9872/605 is 41768432.