Least Common Multiple of 301/334, 2279/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 301/334, 2279/204 quickly i.e. 15953/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 301/334, 2279/204 is 15953/2.

LCM(301/334, 2279/204) = 15953/2

LCM of 301/334, 2279/204

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 301/334,2279/204

Given numbers are 301/334,2279/204

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 301,2279

Least Common Multiple of Numerators i.e. LCM of 301,2279 is 15953.

GCF of Denominators means GCF of 334,204 as per the given fractions.

GCF of 334,204 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 301,2279

LCM of Fractions 301/334,2279/204 is 15953/2

43 301, 2279
7, 53

∴ So the LCM of the given numbers is 43 x 7 x 53 = 15953

Least Common Multiple of 301,2279 with GCF Formula

Least Common Multiple of 301,2279 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 301,2279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,2279) = 43

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

GCF(301,2279) x common factors =43 x 1 = 43

LCM(301,2279) = ( 301 × 2279 ) / 43

LCM(301,2279) = 685979 / 43

LCM(301,2279) = 15953


Lets's calculate GCF of 334,204

2 334, 204
167, 102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15953/2

Therefore the LCM of Fractions 301/334,2279/204 is 15953/2

Greatest Common Factor of 334,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,204 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 334,204 . The biggest common factor number is the GCF number.
So the greatest common factor 334,204 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 301/334, 2279/204

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 301/334, 2279/204?

Answer: LCM of Numerators as per given numbers 301/334, 2279/204 is

LCM of Numerators i.e. for 301,2279 is 15953

GCF of denominators i.e. for 334,204 is 2.

Thus, LCM of Fractions is 15953/2.Finally, LCM of Fractions for 301/334, 2279/204 is 15953/2.