Least Common Multiple of 314/20, 204/6597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/20, 204/6597 quickly i.e. 32028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/20, 204/6597 is 32028.

LCM(314/20, 204/6597) = 32028

LCM of 314/20, 204/6597

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 314/20,204/6597

Given numbers are 314/20,204/6597

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 314,204

Least Common Multiple of Numerators i.e. LCM of 314,204 is 32028.

GCF of Denominators means GCF of 20,6597 as per the given fractions.

GCF of 20,6597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,204

LCM of Fractions 314/20,204/6597 is 32028

2 314, 204
157, 102

∴ So the LCM of the given numbers is 2 x 157 x 102 = 32028

Least Common Multiple of 314,204 with GCF Formula

Least Common Multiple of 314,204 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 314,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,204) = 2

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

GCF(314,204) x common factors =2 x 1 = 2

LCM(314,204) = ( 314 × 204 ) / 2

LCM(314,204) = 64056 / 2

LCM(314,204) = 32028


Lets's calculate GCF of 20,6597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32028/1

Therefore the LCM of Fractions 314/20,204/6597 is 32028

Greatest Common Factor of 20,6597 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,6597 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 6597

List of positive integer factors of 6597 that divides 6597 without a remainder.

1,3,9,733,2199,6597

Greatest Common Factor

We found the factors 20,6597 . The biggest common factor number is the GCF number.
So the greatest common factor 20,6597 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 314/20, 204/6597

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 314/20, 204/6597?

Answer: LCM of Numerators as per given numbers 314/20, 204/6597 is

LCM of Numerators i.e. for 314,204 is 32028

GCF of denominators i.e. for 20,6597 is 1.

Thus, LCM of Fractions is 32028.Finally, LCM of Fractions for 314/20, 204/6597 is 32028.