Least Common Multiple of 726/21, 141/6582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/21, 141/6582 quickly i.e. 11374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/21, 141/6582 is 11374.

LCM(726/21, 141/6582) = 11374

LCM of 726/21, 141/6582

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 726/21,141/6582

Given numbers are 726/21,141/6582

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 726,141

Least Common Multiple of Numerators i.e. LCM of 726,141 is 34122.

GCF of Denominators means GCF of 21,6582 as per the given fractions.

GCF of 21,6582 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,141

LCM of Fractions 726/21,141/6582 is 11374

3 726, 141
242, 47

∴ So the LCM of the given numbers is 3 x 242 x 47 = 34122

Least Common Multiple of 726,141 with GCF Formula

Least Common Multiple of 726,141 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 726,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,141) = 3

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

GCF(726,141) x common factors =3 x 1 = 3

LCM(726,141) = ( 726 × 141 ) / 3

LCM(726,141) = 102366 / 3

LCM(726,141) = 34122


Lets's calculate GCF of 21,6582

3 21, 6582
7, 2194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34122/3

Therefore the LCM of Fractions 726/21,141/6582 is 11374

Greatest Common Factor of 21,6582 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,6582 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 6582

List of positive integer factors of 6582 that divides 6582 without a remainder.

1,2,3,6,1097,2194,3291,6582

Greatest Common Factor

We found the factors 21,6582 . The biggest common factor number is the GCF number.
So the greatest common factor 21,6582 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 726/21, 141/6582

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 726/21, 141/6582?

Answer: LCM of Numerators as per given numbers 726/21, 141/6582 is

LCM of Numerators i.e. for 726,141 is 34122

GCF of denominators i.e. for 21,6582 is 3.

Thus, LCM of Fractions is 11374.Finally, LCM of Fractions for 726/21, 141/6582 is 11374.