Least Common Multiple of 726/849, 571/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/849, 571/259 quickly i.e. 414546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/849, 571/259 is 414546.

LCM(726/849, 571/259) = 414546

LCM of 726/849, 571/259

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 726/849,571/259

Given numbers are 726/849,571/259

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 726,571

Least Common Multiple of Numerators i.e. LCM of 726,571 is 414546.

GCF of Denominators means GCF of 849,259 as per the given fractions.

GCF of 849,259 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,571

LCM of Fractions 726/849,571/259 is 414546

Given numbers has no common factors except 1. So, there LCM is their product i.e 414546

Least Common Multiple of 726,571 with GCF Formula

Least Common Multiple of 726,571 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 726,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,571) = 1

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

GCF(726,571) x common factors =1 x 1 = 1

LCM(726,571) = ( 726 × 571 ) / 1

LCM(726,571) = 414546 / 1

LCM(726,571) = 414546


Lets's calculate GCF of 849,259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414546/1

Therefore the LCM of Fractions 726/849,571/259 is 414546

Greatest Common Factor of 849,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,259 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 849,259 . The biggest common factor number is the GCF number.
So the greatest common factor 849,259 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 726/849, 571/259

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 726/849, 571/259?

Answer: LCM of Numerators as per given numbers 726/849, 571/259 is

LCM of Numerators i.e. for 726,571 is 414546

GCF of denominators i.e. for 849,259 is 1.

Thus, LCM of Fractions is 414546.Finally, LCM of Fractions for 726/849, 571/259 is 414546.