Least Common Multiple of 54/99, 94/45, 112/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/99, 94/45, 112/795 quickly i.e. 47376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/99, 94/45, 112/795 is 47376.

LCM(54/99, 94/45, 112/795) = 47376

LCM of 54/99, 94/45, 112/795

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 54/99,94/45,112/795

Given numbers are 54/99,94/45,112/795

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 54,94,112

Least Common Multiple of Numerators i.e. LCM of 54,94,112 is 142128.

GCF of Denominators means GCF of 99,45,795 as per the given fractions.

GCF of 99,45,795 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,94,112

LCM of Fractions 54/99,94/45,112/795 is 47376

2 54, 94, 112
27, 47, 56

∴ So the LCM of the given numbers is 2 x 27 x 47 x 56 = 142128

Least Common Multiple of 54,94,112 with GCF Formula

Least Common Multiple of 54,94,112 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 54,94,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,94,112) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(54,94,112) x common factors =2 x 2 = 4

LCM(54,94,112) = ( 54 × 94 × 112 ) / 4

LCM(54,94,112) = 568512 / 4

LCM(54,94,112) = 142128


Lets's calculate GCF of 99,45,795

3 99, 45, 795
33, 15, 265

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142128/3

Therefore the LCM of Fractions 54/99,94/45,112/795 is 47376

Greatest Common Factor of 99,45,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,45,795 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 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors 99,45,795 . The biggest common factor number is the GCF number.
So the greatest common factor 99,45,795 is 3.


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 54/99, 94/45, 112/795

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 54/99, 94/45, 112/795?

Answer: LCM of Numerators as per given numbers 54/99, 94/45, 112/795 is

LCM of Numerators i.e. for 54,94,112 is 142128

GCF of denominators i.e. for 99,45,795 is 3.

Thus, LCM of Fractions is 47376.Finally, LCM of Fractions for 54/99, 94/45, 112/795 is 47376.