Least Common Multiple of 8314/43, 1999/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8314/43, 1999/319 quickly i.e. 16619686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8314/43, 1999/319 is 16619686.

LCM(8314/43, 1999/319) = 16619686

LCM of 8314/43, 1999/319

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 8314/43,1999/319

Given numbers are 8314/43,1999/319

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 8314,1999

Least Common Multiple of Numerators i.e. LCM of 8314,1999 is 16619686.

GCF of Denominators means GCF of 43,319 as per the given fractions.

GCF of 43,319 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8314,1999

LCM of Fractions 8314/43,1999/319 is 16619686

Given numbers has no common factors except 1. So, there LCM is their product i.e 16619686

Least Common Multiple of 8314,1999 with GCF Formula

Least Common Multiple of 8314,1999 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 8314,1999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8314,1999) = 1

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

GCF(8314,1999) x common factors =1 x 1 = 1

LCM(8314,1999) = ( 8314 × 1999 ) / 1

LCM(8314,1999) = 16619686 / 1

LCM(8314,1999) = 16619686


Lets's calculate GCF of 43,319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16619686/1

Therefore the LCM of Fractions 8314/43,1999/319 is 16619686

Greatest Common Factor of 43,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,319 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 43,319 . The biggest common factor number is the GCF number.
So the greatest common factor 43,319 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 8314/43, 1999/319

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 8314/43, 1999/319?

Answer: LCM of Numerators as per given numbers 8314/43, 1999/319 is

LCM of Numerators i.e. for 8314,1999 is 16619686

GCF of denominators i.e. for 43,319 is 1.

Thus, LCM of Fractions is 16619686.Finally, LCM of Fractions for 8314/43, 1999/319 is 16619686.