Least Common Multiple of 321/67, 201/2055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/67, 201/2055 quickly i.e. 21507 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/67, 201/2055 is 21507.

LCM(321/67, 201/2055) = 21507

LCM of 321/67, 201/2055

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 321/67,201/2055

Given numbers are 321/67,201/2055

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 321,201

Least Common Multiple of Numerators i.e. LCM of 321,201 is 21507.

GCF of Denominators means GCF of 67,2055 as per the given fractions.

GCF of 67,2055 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,201

LCM of Fractions 321/67,201/2055 is 21507

3 321, 201
107, 67

∴ So the LCM of the given numbers is 3 x 107 x 67 = 21507

Least Common Multiple of 321,201 with GCF Formula

Least Common Multiple of 321,201 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 321,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,201) = 3

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

GCF(321,201) x common factors =3 x 1 = 3

LCM(321,201) = ( 321 × 201 ) / 3

LCM(321,201) = 64521 / 3

LCM(321,201) = 21507


Lets's calculate GCF of 67,2055

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21507/1

Therefore the LCM of Fractions 321/67,201/2055 is 21507

Greatest Common Factor of 67,2055 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,2055 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 2055

List of positive integer factors of 2055 that divides 2055 without a remainder.

1,3,5,15,137,411,685,2055

Greatest Common Factor

We found the factors 67,2055 . The biggest common factor number is the GCF number.
So the greatest common factor 67,2055 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 321/67, 201/2055

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 321/67, 201/2055?

Answer: LCM of Numerators as per given numbers 321/67, 201/2055 is

LCM of Numerators i.e. for 321,201 is 21507

GCF of denominators i.e. for 67,2055 is 1.

Thus, LCM of Fractions is 21507.Finally, LCM of Fractions for 321/67, 201/2055 is 21507.