Least Common Multiple of 727/86, 222/99, 447/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 727/86, 222/99, 447/344 quickly i.e. 24047706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 727/86, 222/99, 447/344 is 24047706.

LCM(727/86, 222/99, 447/344) = 24047706

LCM of 727/86, 222/99, 447/344

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 727/86,222/99,447/344

Given numbers are 727/86,222/99,447/344

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 727,222,447

Least Common Multiple of Numerators i.e. LCM of 727,222,447 is 24047706.

GCF of Denominators means GCF of 86,99,344 as per the given fractions.

GCF of 86,99,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 727,222,447

LCM of Fractions 727/86,222/99,447/344 is 24047706

3 727, 222, 447
727, 74, 149

∴ So the LCM of the given numbers is 3 x 727 x 74 x 149 = 24047706

Least Common Multiple of 727,222,447 with GCF Formula

Least Common Multiple of 727,222,447 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 727,222,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,222,447) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(727,222,447) x common factors =1 x 3 = 3

LCM(727,222,447) = ( 727 × 222 × 447 ) / 3

LCM(727,222,447) = 72143118 / 3

LCM(727,222,447) = 24047706


Lets's calculate GCF of 86,99,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24047706/1

Therefore the LCM of Fractions 727/86,222/99,447/344 is 24047706

Greatest Common Factor of 86,99,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,99,344 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 86,99,344 . The biggest common factor number is the GCF number.
So the greatest common factor 86,99,344 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 727/86, 222/99, 447/344

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 727/86, 222/99, 447/344?

Answer: LCM of Numerators as per given numbers 727/86, 222/99, 447/344 is

LCM of Numerators i.e. for 727,222,447 is 24047706

GCF of denominators i.e. for 86,99,344 is 1.

Thus, LCM of Fractions is 24047706.Finally, LCM of Fractions for 727/86, 222/99, 447/344 is 24047706.