Least Common Multiple of 73/726, 65/231, 860/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/726, 65/231, 860/447 quickly i.e. 816140/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/726, 65/231, 860/447 is 816140/3.

LCM(73/726, 65/231, 860/447) = 816140/3

LCM of 73/726, 65/231, 860/447

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 73/726,65/231,860/447

Given numbers are 73/726,65/231,860/447

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 73,65,860

Least Common Multiple of Numerators i.e. LCM of 73,65,860 is 816140.

GCF of Denominators means GCF of 726,231,447 as per the given fractions.

GCF of 726,231,447 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,65,860

LCM of Fractions 73/726,65/231,860/447 is 816140/3

5 73, 65, 860
73, 13, 172

∴ So the LCM of the given numbers is 5 x 73 x 13 x 172 = 816140

Least Common Multiple of 73,65,860 with GCF Formula

Least Common Multiple of 73,65,860 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 73,65,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,65,860) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(73,65,860) x common factors =1 x 5 = 5

LCM(73,65,860) = ( 73 × 65 × 860 ) / 5

LCM(73,65,860) = 4080700 / 5

LCM(73,65,860) = 816140


Lets's calculate GCF of 726,231,447

3 726, 231, 447
242, 77, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 816140/3

Therefore the LCM of Fractions 73/726,65/231,860/447 is 816140/3

Greatest Common Factor of 726,231,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,231,447 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 726,231,447 . The biggest common factor number is the GCF number.
So the greatest common factor 726,231,447 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 73/726, 65/231, 860/447

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 73/726, 65/231, 860/447?

Answer: LCM of Numerators as per given numbers 73/726, 65/231, 860/447 is

LCM of Numerators i.e. for 73,65,860 is 816140

GCF of denominators i.e. for 726,231,447 is 3.

Thus, LCM of Fractions is 816140/3.Finally, LCM of Fractions for 73/726, 65/231, 860/447 is 816140/3.