Least Common Multiple of 301/34, 273/9342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 301/34, 273/9342 quickly i.e. 11739/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 301/34, 273/9342 is 11739/2.

LCM(301/34, 273/9342) = 11739/2

LCM of 301/34, 273/9342

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 301/34,273/9342

Given numbers are 301/34,273/9342

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 301,273

Least Common Multiple of Numerators i.e. LCM of 301,273 is 11739.

GCF of Denominators means GCF of 34,9342 as per the given fractions.

GCF of 34,9342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 301,273

LCM of Fractions 301/34,273/9342 is 11739/2

7 301, 273
43, 39

∴ So the LCM of the given numbers is 7 x 43 x 39 = 11739

Least Common Multiple of 301,273 with GCF Formula

Least Common Multiple of 301,273 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 301,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,273) = 7

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

GCF(301,273) x common factors =7 x 1 = 7

LCM(301,273) = ( 301 × 273 ) / 7

LCM(301,273) = 82173 / 7

LCM(301,273) = 11739


Lets's calculate GCF of 34,9342

2 34, 9342
17, 4671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11739/2

Therefore the LCM of Fractions 301/34,273/9342 is 11739/2

Greatest Common Factor of 34,9342 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,9342 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 9342

List of positive integer factors of 9342 that divides 9342 without a remainder.

1,2,3,6,9,18,27,54,173,346,519,1038,1557,3114,4671,9342

Greatest Common Factor

We found the factors 34,9342 . The biggest common factor number is the GCF number.
So the greatest common factor 34,9342 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 301/34, 273/9342

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 301/34, 273/9342?

Answer: LCM of Numerators as per given numbers 301/34, 273/9342 is

LCM of Numerators i.e. for 301,273 is 11739

GCF of denominators i.e. for 34,9342 is 2.

Thus, LCM of Fractions is 11739/2.Finally, LCM of Fractions for 301/34, 273/9342 is 11739/2.