Least Common Multiple of 66/23, 79/12, 33/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 66/23, 79/12, 33/224 quickly i.e. 5214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/23, 79/12, 33/224 is 5214.

LCM(66/23, 79/12, 33/224) = 5214

LCM of 66/23, 79/12, 33/224

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 66/23,79/12,33/224

Given numbers are 66/23,79/12,33/224

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 66,79,33

Least Common Multiple of Numerators i.e. LCM of 66,79,33 is 5214.

GCF of Denominators means GCF of 23,12,224 as per the given fractions.

GCF of 23,12,224 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,79,33

LCM of Fractions 66/23,79/12,33/224 is 5214

3 66, 79, 33
11 22, 79, 11
2, 79, 1

∴ So the LCM of the given numbers is 3 x 11 x 2 x 79 x 1 = 5214

Least Common Multiple of 66,79,33 with GCF Formula

Least Common Multiple of 66,79,33 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 66,79,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,79,33) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(66,79,33) x common factors =1 x 33 = 33

LCM(66,79,33) = ( 66 × 79 × 33 ) / 33

LCM(66,79,33) = 172062 / 33

LCM(66,79,33) = 5214


Lets's calculate GCF of 23,12,224

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5214/1

Therefore the LCM of Fractions 66/23,79/12,33/224 is 5214

Greatest Common Factor of 23,12,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,12,224 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 23,12,224 . The biggest common factor number is the GCF number.
So the greatest common factor 23,12,224 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 66/23, 79/12, 33/224

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 66/23, 79/12, 33/224?

Answer: LCM of Numerators as per given numbers 66/23, 79/12, 33/224 is

LCM of Numerators i.e. for 66,79,33 is 5214

GCF of denominators i.e. for 23,12,224 is 1.

Thus, LCM of Fractions is 5214.Finally, LCM of Fractions for 66/23, 79/12, 33/224 is 5214.