Least Common Multiple of 15/271, 5068/6842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 15/271, 5068/6842 quickly i.e. 76020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/271, 5068/6842 is 76020.

LCM(15/271, 5068/6842) = 76020

LCM of 15/271, 5068/6842

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 15/271,5068/6842

Given numbers are 15/271,5068/6842

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 15,5068

Least Common Multiple of Numerators i.e. LCM of 15,5068 is 76020.

GCF of Denominators means GCF of 271,6842 as per the given fractions.

GCF of 271,6842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,5068

LCM of Fractions 15/271,5068/6842 is 76020

Given numbers has no common factors except 1. So, there LCM is their product i.e 76020

Least Common Multiple of 15,5068 with GCF Formula

Least Common Multiple of 15,5068 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 15,5068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,5068) = 1

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

GCF(15,5068) x common factors =1 x 1 = 1

LCM(15,5068) = ( 15 × 5068 ) / 1

LCM(15,5068) = 76020 / 1

LCM(15,5068) = 76020


Lets's calculate GCF of 271,6842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76020/1

Therefore the LCM of Fractions 15/271,5068/6842 is 76020

Greatest Common Factor of 271,6842 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,6842 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 6842

List of positive integer factors of 6842 that divides 6842 without a remainder.

1,2,11,22,311,622,3421,6842

Greatest Common Factor

We found the factors 271,6842 . The biggest common factor number is the GCF number.
So the greatest common factor 271,6842 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 15/271, 5068/6842

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 15/271, 5068/6842?

Answer: LCM of Numerators as per given numbers 15/271, 5068/6842 is

LCM of Numerators i.e. for 15,5068 is 76020

GCF of denominators i.e. for 271,6842 is 1.

Thus, LCM of Fractions is 76020.Finally, LCM of Fractions for 15/271, 5068/6842 is 76020.