Least Common Multiple of 75/96, 24/81, 49/91, 44/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/96, 24/81, 49/91, 44/445 quickly i.e. 323400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/96, 24/81, 49/91, 44/445 is 323400.

LCM(75/96, 24/81, 49/91, 44/445) = 323400

LCM of 75/96, 24/81, 49/91, 44/445

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 75/96,24/81,49/91,44/445

Given numbers are 75/96,24/81,49/91,44/445

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 75,24,49,44

Least Common Multiple of Numerators i.e. LCM of 75,24,49,44 is 323400.

GCF of Denominators means GCF of 96,81,91,445 as per the given fractions.

GCF of 96,81,91,445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,24,49,44

LCM of Fractions 75/96,24/81,49/91,44/445 is 323400

2 75, 24, 49, 44
2 75, 12, 49, 22
3 75, 6, 49, 11
25, 2, 49, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 25 x 2 x 49 x 11 = 323400

Least Common Multiple of 75,24,49,44 with GCF Formula

Least Common Multiple of 75,24,49,44 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 75,24,49,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,24,49,44) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(75,24,49,44) x common factors =1 x 12 = 12

LCM(75,24,49,44) = ( 75 × 24 × 49 × 44 ) / 12

LCM(75,24,49,44) = 3880800 / 12

LCM(75,24,49,44) = 323400


Lets's calculate GCF of 96,81,91,445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323400/1

Therefore the LCM of Fractions 75/96,24/81,49/91,44/445 is 323400

Greatest Common Factor of 96,81,91,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,81,91,445 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 96,81,91,445 . The biggest common factor number is the GCF number.
So the greatest common factor 96,81,91,445 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 75/96, 24/81, 49/91, 44/445

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 75/96, 24/81, 49/91, 44/445?

Answer: LCM of Numerators as per given numbers 75/96, 24/81, 49/91, 44/445 is

LCM of Numerators i.e. for 75,24,49,44 is 323400

GCF of denominators i.e. for 96,81,91,445 is 1.

Thus, LCM of Fractions is 323400.Finally, LCM of Fractions for 75/96, 24/81, 49/91, 44/445 is 323400.