Least Common Multiple of 21/114, 6809/5879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/114, 6809/5879 quickly i.e. 142989 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/114, 6809/5879 is 142989.

LCM(21/114, 6809/5879) = 142989

LCM of 21/114, 6809/5879

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 21/114,6809/5879

Given numbers are 21/114,6809/5879

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 21,6809

Least Common Multiple of Numerators i.e. LCM of 21,6809 is 142989.

GCF of Denominators means GCF of 114,5879 as per the given fractions.

GCF of 114,5879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,6809

LCM of Fractions 21/114,6809/5879 is 142989

Given numbers has no common factors except 1. So, there LCM is their product i.e 142989

Least Common Multiple of 21,6809 with GCF Formula

Least Common Multiple of 21,6809 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 21,6809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,6809) = 1

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

GCF(21,6809) x common factors =1 x 1 = 1

LCM(21,6809) = ( 21 × 6809 ) / 1

LCM(21,6809) = 142989 / 1

LCM(21,6809) = 142989


Lets's calculate GCF of 114,5879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142989/1

Therefore the LCM of Fractions 21/114,6809/5879 is 142989

Greatest Common Factor of 114,5879 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,5879 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 5879

List of positive integer factors of 5879 that divides 5879 without a remainder.

1,5879

Greatest Common Factor

We found the factors 114,5879 . The biggest common factor number is the GCF number.
So the greatest common factor 114,5879 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 21/114, 6809/5879

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 21/114, 6809/5879?

Answer: LCM of Numerators as per given numbers 21/114, 6809/5879 is

LCM of Numerators i.e. for 21,6809 is 142989

GCF of denominators i.e. for 114,5879 is 1.

Thus, LCM of Fractions is 142989.Finally, LCM of Fractions for 21/114, 6809/5879 is 142989.