Least Common Multiple of 726/20, 284/5191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/20, 284/5191 quickly i.e. 103092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/20, 284/5191 is 103092.

LCM(726/20, 284/5191) = 103092

LCM of 726/20, 284/5191

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 726/20,284/5191

Given numbers are 726/20,284/5191

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 726,284

Least Common Multiple of Numerators i.e. LCM of 726,284 is 103092.

GCF of Denominators means GCF of 20,5191 as per the given fractions.

GCF of 20,5191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,284

LCM of Fractions 726/20,284/5191 is 103092

2 726, 284
363, 142

∴ So the LCM of the given numbers is 2 x 363 x 142 = 103092

Least Common Multiple of 726,284 with GCF Formula

Least Common Multiple of 726,284 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 726,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,284) = 2

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

GCF(726,284) x common factors =2 x 1 = 2

LCM(726,284) = ( 726 × 284 ) / 2

LCM(726,284) = 206184 / 2

LCM(726,284) = 103092


Lets's calculate GCF of 20,5191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103092/1

Therefore the LCM of Fractions 726/20,284/5191 is 103092

Greatest Common Factor of 20,5191 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,5191 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 5191

List of positive integer factors of 5191 that divides 5191 without a remainder.

1,29,179,5191

Greatest Common Factor

We found the factors 20,5191 . The biggest common factor number is the GCF number.
So the greatest common factor 20,5191 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 726/20, 284/5191

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 726/20, 284/5191?

Answer: LCM of Numerators as per given numbers 726/20, 284/5191 is

LCM of Numerators i.e. for 726,284 is 103092

GCF of denominators i.e. for 20,5191 is 1.

Thus, LCM of Fractions is 103092.Finally, LCM of Fractions for 726/20, 284/5191 is 103092.