Least Common Multiple of 27/326, 6278/5298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/326, 6278/5298 quickly i.e. 84753 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/326, 6278/5298 is 84753.

LCM(27/326, 6278/5298) = 84753

LCM of 27/326, 6278/5298

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 27/326,6278/5298

Given numbers are 27/326,6278/5298

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 27,6278

Least Common Multiple of Numerators i.e. LCM of 27,6278 is 169506.

GCF of Denominators means GCF of 326,5298 as per the given fractions.

GCF of 326,5298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,6278

LCM of Fractions 27/326,6278/5298 is 84753

Given numbers has no common factors except 1. So, there LCM is their product i.e 169506

Least Common Multiple of 27,6278 with GCF Formula

Least Common Multiple of 27,6278 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 27,6278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,6278) = 1

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

GCF(27,6278) x common factors =1 x 1 = 1

LCM(27,6278) = ( 27 × 6278 ) / 1

LCM(27,6278) = 169506 / 1

LCM(27,6278) = 169506


Lets's calculate GCF of 326,5298

2 326, 5298
163, 2649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 169506/2

Therefore the LCM of Fractions 27/326,6278/5298 is 84753

Greatest Common Factor of 326,5298 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,5298 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 5298

List of positive integer factors of 5298 that divides 5298 without a remainder.

1,2,3,6,883,1766,2649,5298

Greatest Common Factor

We found the factors 326,5298 . The biggest common factor number is the GCF number.
So the greatest common factor 326,5298 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 27/326, 6278/5298

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 27/326, 6278/5298?

Answer: LCM of Numerators as per given numbers 27/326, 6278/5298 is

LCM of Numerators i.e. for 27,6278 is 169506

GCF of denominators i.e. for 326,5298 is 2.

Thus, LCM of Fractions is 84753.Finally, LCM of Fractions for 27/326, 6278/5298 is 84753.