Least Common Multiple of 233/36, 721/95, 467/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 233/36, 721/95, 467/39 quickly i.e. 78452731 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 233/36, 721/95, 467/39 is 78452731.

LCM(233/36, 721/95, 467/39) = 78452731

LCM of 233/36, 721/95, 467/39

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 233/36,721/95,467/39

Given numbers are 233/36,721/95,467/39

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 233,721,467

Least Common Multiple of Numerators i.e. LCM of 233,721,467 is 78452731.

GCF of Denominators means GCF of 36,95,39 as per the given fractions.

GCF of 36,95,39 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 233,721,467

LCM of Fractions 233/36,721/95,467/39 is 78452731

Given numbers has no common factors except 1. So, there LCM is their product i.e 78452731

Least Common Multiple of 233,721,467 with GCF Formula

Least Common Multiple of 233,721,467 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 233,721,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,721,467) = 1

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

GCF(233,721,467) x common factors =1 x 1 = 1

LCM(233,721,467) = ( 233 × 721 × 467 ) / 1

LCM(233,721,467) = 78452731 / 1

LCM(233,721,467) = 78452731


Lets's calculate GCF of 36,95,39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78452731/1

Therefore the LCM of Fractions 233/36,721/95,467/39 is 78452731

Greatest Common Factor of 36,95,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,95,39 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors 36,95,39 . The biggest common factor number is the GCF number.
So the greatest common factor 36,95,39 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 233/36, 721/95, 467/39

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 233/36, 721/95, 467/39?

Answer: LCM of Numerators as per given numbers 233/36, 721/95, 467/39 is

LCM of Numerators i.e. for 233,721,467 is 78452731

GCF of denominators i.e. for 36,95,39 is 1.

Thus, LCM of Fractions is 78452731.Finally, LCM of Fractions for 233/36, 721/95, 467/39 is 78452731.