Least Common Multiple of 33/99, 89/76, 44/79, 44/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/99, 89/76, 44/79, 44/893 quickly i.e. 11748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/99, 89/76, 44/79, 44/893 is 11748.

LCM(33/99, 89/76, 44/79, 44/893) = 11748

LCM of 33/99, 89/76, 44/79, 44/893

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 33/99,89/76,44/79,44/893

Given numbers are 33/99,89/76,44/79,44/893

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 33,89,44,44

Least Common Multiple of Numerators i.e. LCM of 33,89,44,44 is 11748.

GCF of Denominators means GCF of 99,76,79,893 as per the given fractions.

GCF of 99,76,79,893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,89,44,44

LCM of Fractions 33/99,89/76,44/79,44/893 is 11748

2 33, 89, 44, 44
2 33, 89, 22, 22
11 33, 89, 11, 11
3, 89, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 11 x 3 x 89 x 1 x 1 = 11748

Least Common Multiple of 33,89,44,44 with GCF Formula

Least Common Multiple of 33,89,44,44 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 33,89,44,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,89,44,44) = 1

common factors(in case of two or more numbers have common factors) = 484

GCF(33,89,44,44) x common factors =1 x 484 = 484

LCM(33,89,44,44) = ( 33 × 89 × 44 × 44 ) / 484

LCM(33,89,44,44) = 5686032 / 484

LCM(33,89,44,44) = 11748


Lets's calculate GCF of 99,76,79,893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11748/1

Therefore the LCM of Fractions 33/99,89/76,44/79,44/893 is 11748

Greatest Common Factor of 99,76,79,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,76,79,893 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 99,76,79,893 . The biggest common factor number is the GCF number.
So the greatest common factor 99,76,79,893 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 33/99, 89/76, 44/79, 44/893

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 33/99, 89/76, 44/79, 44/893?

Answer: LCM of Numerators as per given numbers 33/99, 89/76, 44/79, 44/893 is

LCM of Numerators i.e. for 33,89,44,44 is 11748

GCF of denominators i.e. for 99,76,79,893 is 1.

Thus, LCM of Fractions is 11748.Finally, LCM of Fractions for 33/99, 89/76, 44/79, 44/893 is 11748.