Least Common Multiple of 72/693, 731/184, 458/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/693, 731/184, 458/444 quickly i.e. 12052728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/693, 731/184, 458/444 is 12052728.

LCM(72/693, 731/184, 458/444) = 12052728

LCM of 72/693, 731/184, 458/444

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 72/693,731/184,458/444

Given numbers are 72/693,731/184,458/444

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 72,731,458

Least Common Multiple of Numerators i.e. LCM of 72,731,458 is 12052728.

GCF of Denominators means GCF of 693,184,444 as per the given fractions.

GCF of 693,184,444 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,731,458

LCM of Fractions 72/693,731/184,458/444 is 12052728

2 72, 731, 458
36, 731, 229

∴ So the LCM of the given numbers is 2 x 36 x 731 x 229 = 12052728

Least Common Multiple of 72,731,458 with GCF Formula

Least Common Multiple of 72,731,458 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 72,731,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,731,458) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(72,731,458) x common factors =1 x 2 = 2

LCM(72,731,458) = ( 72 × 731 × 458 ) / 2

LCM(72,731,458) = 24105456 / 2

LCM(72,731,458) = 12052728


Lets's calculate GCF of 693,184,444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12052728/1

Therefore the LCM of Fractions 72/693,731/184,458/444 is 12052728

Greatest Common Factor of 693,184,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,184,444 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 693,184,444 . The biggest common factor number is the GCF number.
So the greatest common factor 693,184,444 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 72/693, 731/184, 458/444

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 72/693, 731/184, 458/444?

Answer: LCM of Numerators as per given numbers 72/693, 731/184, 458/444 is

LCM of Numerators i.e. for 72,731,458 is 12052728

GCF of denominators i.e. for 693,184,444 is 1.

Thus, LCM of Fractions is 12052728.Finally, LCM of Fractions for 72/693, 731/184, 458/444 is 12052728.