Least Common Multiple of 75/161, 8991/9728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/161, 8991/9728 quickly i.e. 224775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/161, 8991/9728 is 224775.

LCM(75/161, 8991/9728) = 224775

LCM of 75/161, 8991/9728

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 75/161,8991/9728

Given numbers are 75/161,8991/9728

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 75,8991

Least Common Multiple of Numerators i.e. LCM of 75,8991 is 224775.

GCF of Denominators means GCF of 161,9728 as per the given fractions.

GCF of 161,9728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,8991

LCM of Fractions 75/161,8991/9728 is 224775

3 75, 8991
25, 2997

∴ So the LCM of the given numbers is 3 x 25 x 2997 = 224775

Least Common Multiple of 75,8991 with GCF Formula

Least Common Multiple of 75,8991 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 75,8991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,8991) = 3

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

GCF(75,8991) x common factors =3 x 1 = 3

LCM(75,8991) = ( 75 × 8991 ) / 3

LCM(75,8991) = 674325 / 3

LCM(75,8991) = 224775


Lets's calculate GCF of 161,9728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224775/1

Therefore the LCM of Fractions 75/161,8991/9728 is 224775

Greatest Common Factor of 161,9728 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,9728 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 9728

List of positive integer factors of 9728 that divides 9728 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728

Greatest Common Factor

We found the factors 161,9728 . The biggest common factor number is the GCF number.
So the greatest common factor 161,9728 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 75/161, 8991/9728

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 75/161, 8991/9728?

Answer: LCM of Numerators as per given numbers 75/161, 8991/9728 is

LCM of Numerators i.e. for 75,8991 is 224775

GCF of denominators i.e. for 161,9728 is 1.

Thus, LCM of Fractions is 224775.Finally, LCM of Fractions for 75/161, 8991/9728 is 224775.