Least Common Multiple of 31/95, 52/73, 27/66, 54/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/95, 52/73, 27/66, 54/592 quickly i.e. 43524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/95, 52/73, 27/66, 54/592 is 43524.

LCM(31/95, 52/73, 27/66, 54/592) = 43524

LCM of 31/95, 52/73, 27/66, 54/592

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 31/95,52/73,27/66,54/592

Given numbers are 31/95,52/73,27/66,54/592

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 31,52,27,54

Least Common Multiple of Numerators i.e. LCM of 31,52,27,54 is 43524.

GCF of Denominators means GCF of 95,73,66,592 as per the given fractions.

GCF of 95,73,66,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,52,27,54

LCM of Fractions 31/95,52/73,27/66,54/592 is 43524

2 31, 52, 27, 54
3 31, 26, 27, 27
3 31, 26, 9, 9
3 31, 26, 3, 3
31, 26, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 31 x 26 x 1 x 1 = 43524

Least Common Multiple of 31,52,27,54 with GCF Formula

Least Common Multiple of 31,52,27,54 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 31,52,27,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,52,27,54) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(31,52,27,54) x common factors =1 x 54 = 54

LCM(31,52,27,54) = ( 31 × 52 × 27 × 54 ) / 54

LCM(31,52,27,54) = 2350296 / 54

LCM(31,52,27,54) = 43524


Lets's calculate GCF of 95,73,66,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43524/1

Therefore the LCM of Fractions 31/95,52/73,27/66,54/592 is 43524

Greatest Common Factor of 95,73,66,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,73,66,592 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 95,73,66,592 . The biggest common factor number is the GCF number.
So the greatest common factor 95,73,66,592 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 31/95, 52/73, 27/66, 54/592

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 31/95, 52/73, 27/66, 54/592?

Answer: LCM of Numerators as per given numbers 31/95, 52/73, 27/66, 54/592 is

LCM of Numerators i.e. for 31,52,27,54 is 43524

GCF of denominators i.e. for 95,73,66,592 is 1.

Thus, LCM of Fractions is 43524.Finally, LCM of Fractions for 31/95, 52/73, 27/66, 54/592 is 43524.