Least Common Multiple of 31/542, 2532/6352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/542, 2532/6352 quickly i.e. 39246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/542, 2532/6352 is 39246.

LCM(31/542, 2532/6352) = 39246

LCM of 31/542, 2532/6352

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 31/542,2532/6352

Given numbers are 31/542,2532/6352

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 31,2532

Least Common Multiple of Numerators i.e. LCM of 31,2532 is 78492.

GCF of Denominators means GCF of 542,6352 as per the given fractions.

GCF of 542,6352 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,2532

LCM of Fractions 31/542,2532/6352 is 39246

Given numbers has no common factors except 1. So, there LCM is their product i.e 78492

Least Common Multiple of 31,2532 with GCF Formula

Least Common Multiple of 31,2532 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 31,2532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,2532) = 1

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

GCF(31,2532) x common factors =1 x 1 = 1

LCM(31,2532) = ( 31 × 2532 ) / 1

LCM(31,2532) = 78492 / 1

LCM(31,2532) = 78492


Lets's calculate GCF of 542,6352

2 542, 6352
271, 3176

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78492/2

Therefore the LCM of Fractions 31/542,2532/6352 is 39246

Greatest Common Factor of 542,6352 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,6352 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 6352

List of positive integer factors of 6352 that divides 6352 without a remainder.

1,2,4,8,16,397,794,1588,3176,6352

Greatest Common Factor

We found the factors 542,6352 . The biggest common factor number is the GCF number.
So the greatest common factor 542,6352 is 2.


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 31/542, 2532/6352

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 31/542, 2532/6352?

Answer: LCM of Numerators as per given numbers 31/542, 2532/6352 is

LCM of Numerators i.e. for 31,2532 is 78492

GCF of denominators i.e. for 542,6352 is 2.

Thus, LCM of Fractions is 39246.Finally, LCM of Fractions for 31/542, 2532/6352 is 39246.