Least Common Multiple of 9975/542, 8243/3927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9975/542, 8243/3927 quickly i.e. 82223925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9975/542, 8243/3927 is 82223925.

LCM(9975/542, 8243/3927) = 82223925

LCM of 9975/542, 8243/3927

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 9975/542,8243/3927

Given numbers are 9975/542,8243/3927

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 9975,8243

Least Common Multiple of Numerators i.e. LCM of 9975,8243 is 82223925.

GCF of Denominators means GCF of 542,3927 as per the given fractions.

GCF of 542,3927 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9975,8243

LCM of Fractions 9975/542,8243/3927 is 82223925

Given numbers has no common factors except 1. So, there LCM is their product i.e 82223925

Least Common Multiple of 9975,8243 with GCF Formula

Least Common Multiple of 9975,8243 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 9975,8243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9975,8243) = 1

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

GCF(9975,8243) x common factors =1 x 1 = 1

LCM(9975,8243) = ( 9975 × 8243 ) / 1

LCM(9975,8243) = 82223925 / 1

LCM(9975,8243) = 82223925


Lets's calculate GCF of 542,3927

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82223925/1

Therefore the LCM of Fractions 9975/542,8243/3927 is 82223925

Greatest Common Factor of 542,3927 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,3927 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 3927

List of positive integer factors of 3927 that divides 3927 without a remainder.

1,3,7,11,17,21,33,51,77,119,187,231,357,561,1309,3927

Greatest Common Factor

We found the factors 542,3927 . The biggest common factor number is the GCF number.
So the greatest common factor 542,3927 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 9975/542, 8243/3927

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 9975/542, 8243/3927?

Answer: LCM of Numerators as per given numbers 9975/542, 8243/3927 is

LCM of Numerators i.e. for 9975,8243 is 82223925

GCF of denominators i.e. for 542,3927 is 1.

Thus, LCM of Fractions is 82223925.Finally, LCM of Fractions for 9975/542, 8243/3927 is 82223925.