Least Common Multiple of 44/72, 24/97, 54/34, 33/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/72, 24/97, 54/34, 33/992 quickly i.e. 2376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/72, 24/97, 54/34, 33/992 is 2376.

LCM(44/72, 24/97, 54/34, 33/992) = 2376

LCM of 44/72, 24/97, 54/34, 33/992

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 44/72,24/97,54/34,33/992

Given numbers are 44/72,24/97,54/34,33/992

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 44,24,54,33

Least Common Multiple of Numerators i.e. LCM of 44,24,54,33 is 2376.

GCF of Denominators means GCF of 72,97,34,992 as per the given fractions.

GCF of 72,97,34,992 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,24,54,33

LCM of Fractions 44/72,24/97,54/34,33/992 is 2376

2 44, 24, 54, 33
2 22, 12, 27, 33
3 11, 6, 27, 33
11 11, 2, 9, 11
1, 2, 9, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 2 x 9 x 1 = 2376

Least Common Multiple of 44,24,54,33 with GCF Formula

Least Common Multiple of 44,24,54,33 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 44,24,54,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,24,54,33) = 1

common factors(in case of two or more numbers have common factors) = 792

GCF(44,24,54,33) x common factors =1 x 792 = 792

LCM(44,24,54,33) = ( 44 × 24 × 54 × 33 ) / 792

LCM(44,24,54,33) = 1881792 / 792

LCM(44,24,54,33) = 2376


Lets's calculate GCF of 72,97,34,992

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2376/1

Therefore the LCM of Fractions 44/72,24/97,54/34,33/992 is 2376

Greatest Common Factor of 72,97,34,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,97,34,992 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 72,97,34,992 . The biggest common factor number is the GCF number.
So the greatest common factor 72,97,34,992 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 44/72, 24/97, 54/34, 33/992

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 44/72, 24/97, 54/34, 33/992?

Answer: LCM of Numerators as per given numbers 44/72, 24/97, 54/34, 33/992 is

LCM of Numerators i.e. for 44,24,54,33 is 2376

GCF of denominators i.e. for 72,97,34,992 is 1.

Thus, LCM of Fractions is 2376.Finally, LCM of Fractions for 44/72, 24/97, 54/34, 33/992 is 2376.