Least Common Multiple of 321/371, 306/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/371, 306/883 quickly i.e. 32742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/371, 306/883 is 32742.

LCM(321/371, 306/883) = 32742

LCM of 321/371, 306/883

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 321/371,306/883

Given numbers are 321/371,306/883

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 321,306

Least Common Multiple of Numerators i.e. LCM of 321,306 is 32742.

GCF of Denominators means GCF of 371,883 as per the given fractions.

GCF of 371,883 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,306

LCM of Fractions 321/371,306/883 is 32742

3 321, 306
107, 102

∴ So the LCM of the given numbers is 3 x 107 x 102 = 32742

Least Common Multiple of 321,306 with GCF Formula

Least Common Multiple of 321,306 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 321,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,306) = 3

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

GCF(321,306) x common factors =3 x 1 = 3

LCM(321,306) = ( 321 × 306 ) / 3

LCM(321,306) = 98226 / 3

LCM(321,306) = 32742


Lets's calculate GCF of 371,883

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32742/1

Therefore the LCM of Fractions 321/371,306/883 is 32742

Greatest Common Factor of 371,883 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,883 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Greatest Common Factor

We found the factors 371,883 . The biggest common factor number is the GCF number.
So the greatest common factor 371,883 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 321/371, 306/883

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 321/371, 306/883?

Answer: LCM of Numerators as per given numbers 321/371, 306/883 is

LCM of Numerators i.e. for 321,306 is 32742

GCF of denominators i.e. for 371,883 is 1.

Thus, LCM of Fractions is 32742.Finally, LCM of Fractions for 321/371, 306/883 is 32742.