Least Common Multiple of 44/972, 9441/9216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/972, 9441/9216 quickly i.e. 11539 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/972, 9441/9216 is 11539.

LCM(44/972, 9441/9216) = 11539

LCM of 44/972, 9441/9216

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 44/972,9441/9216

Given numbers are 44/972,9441/9216

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 44,9441

Least Common Multiple of Numerators i.e. LCM of 44,9441 is 415404.

GCF of Denominators means GCF of 972,9216 as per the given fractions.

GCF of 972,9216 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,9441

LCM of Fractions 44/972,9441/9216 is 11539

Given numbers has no common factors except 1. So, there LCM is their product i.e 415404

Least Common Multiple of 44,9441 with GCF Formula

Least Common Multiple of 44,9441 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 44,9441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,9441) = 1

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

GCF(44,9441) x common factors =1 x 1 = 1

LCM(44,9441) = ( 44 × 9441 ) / 1

LCM(44,9441) = 415404 / 1

LCM(44,9441) = 415404


Lets's calculate GCF of 972,9216

2 972, 9216
2 486, 4608
3 243, 2304
3 81, 768
27, 256

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 415404/36

Therefore the LCM of Fractions 44/972,9441/9216 is 11539

Greatest Common Factor of 972,9216 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,9216 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 9216

List of positive integer factors of 9216 that divides 9216 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1024,1152,1536,2304,3072,4608,9216

Greatest Common Factor

We found the factors 972,9216 . The biggest common factor number is the GCF number.
So the greatest common factor 972,9216 is 36.


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 44/972, 9441/9216

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 44/972, 9441/9216?

Answer: LCM of Numerators as per given numbers 44/972, 9441/9216 is

LCM of Numerators i.e. for 44,9441 is 415404

GCF of denominators i.e. for 972,9216 is 36.

Thus, LCM of Fractions is 11539.Finally, LCM of Fractions for 44/972, 9441/9216 is 11539.