Least Common Multiple of 66/132, 2031/2349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/132, 2031/2349 quickly i.e. 14894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/132, 2031/2349 is 14894.

LCM(66/132, 2031/2349) = 14894

LCM of 66/132, 2031/2349

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 66/132,2031/2349

Given numbers are 66/132,2031/2349

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 66,2031

Least Common Multiple of Numerators i.e. LCM of 66,2031 is 44682.

GCF of Denominators means GCF of 132,2349 as per the given fractions.

GCF of 132,2349 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,2031

LCM of Fractions 66/132,2031/2349 is 14894

3 66, 2031
22, 677

∴ So the LCM of the given numbers is 3 x 22 x 677 = 44682

Least Common Multiple of 66,2031 with GCF Formula

Least Common Multiple of 66,2031 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 66,2031 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,2031) = 3

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

GCF(66,2031) x common factors =3 x 1 = 3

LCM(66,2031) = ( 66 × 2031 ) / 3

LCM(66,2031) = 134046 / 3

LCM(66,2031) = 44682


Lets's calculate GCF of 132,2349

3 132, 2349
44, 783

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44682/3

Therefore the LCM of Fractions 66/132,2031/2349 is 14894

Greatest Common Factor of 132,2349 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,2349 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 2349

List of positive integer factors of 2349 that divides 2349 without a remainder.

1,3,9,27,29,81,87,261,783,2349

Greatest Common Factor

We found the factors 132,2349 . The biggest common factor number is the GCF number.
So the greatest common factor 132,2349 is 3.


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 66/132, 2031/2349

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 66/132, 2031/2349?

Answer: LCM of Numerators as per given numbers 66/132, 2031/2349 is

LCM of Numerators i.e. for 66,2031 is 44682

GCF of denominators i.e. for 132,2349 is 3.

Thus, LCM of Fractions is 14894.Finally, LCM of Fractions for 66/132, 2031/2349 is 14894.