Least Common Multiple of 7842/38, 7273/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7842/38, 7273/561 quickly i.e. 57034866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7842/38, 7273/561 is 57034866.

LCM(7842/38, 7273/561) = 57034866

LCM of 7842/38, 7273/561

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 7842/38,7273/561

Given numbers are 7842/38,7273/561

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 7842,7273

Least Common Multiple of Numerators i.e. LCM of 7842,7273 is 57034866.

GCF of Denominators means GCF of 38,561 as per the given fractions.

GCF of 38,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7842,7273

LCM of Fractions 7842/38,7273/561 is 57034866

Given numbers has no common factors except 1. So, there LCM is their product i.e 57034866

Least Common Multiple of 7842,7273 with GCF Formula

Least Common Multiple of 7842,7273 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 7842,7273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7842,7273) = 1

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

GCF(7842,7273) x common factors =1 x 1 = 1

LCM(7842,7273) = ( 7842 × 7273 ) / 1

LCM(7842,7273) = 57034866 / 1

LCM(7842,7273) = 57034866


Lets's calculate GCF of 38,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57034866/1

Therefore the LCM of Fractions 7842/38,7273/561 is 57034866

Greatest Common Factor of 38,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,561 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 38,561 . The biggest common factor number is the GCF number.
So the greatest common factor 38,561 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 7842/38, 7273/561

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 7842/38, 7273/561?

Answer: LCM of Numerators as per given numbers 7842/38, 7273/561 is

LCM of Numerators i.e. for 7842,7273 is 57034866

GCF of denominators i.e. for 38,561 is 1.

Thus, LCM of Fractions is 57034866.Finally, LCM of Fractions for 7842/38, 7273/561 is 57034866.