Least Common Multiple of 766/18, 443/21, 813/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/18, 443/21, 813/19 quickly i.e. 275881794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/18, 443/21, 813/19 is 275881794.

LCM(766/18, 443/21, 813/19) = 275881794

LCM of 766/18, 443/21, 813/19

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 766/18,443/21,813/19

Given numbers are 766/18,443/21,813/19

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 766,443,813

Least Common Multiple of Numerators i.e. LCM of 766,443,813 is 275881794.

GCF of Denominators means GCF of 18,21,19 as per the given fractions.

GCF of 18,21,19 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,443,813

LCM of Fractions 766/18,443/21,813/19 is 275881794

Given numbers has no common factors except 1. So, there LCM is their product i.e 275881794

Least Common Multiple of 766,443,813 with GCF Formula

Least Common Multiple of 766,443,813 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 766,443,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,443,813) = 1

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

GCF(766,443,813) x common factors =1 x 1 = 1

LCM(766,443,813) = ( 766 × 443 × 813 ) / 1

LCM(766,443,813) = 275881794 / 1

LCM(766,443,813) = 275881794


Lets's calculate GCF of 18,21,19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275881794/1

Therefore the LCM of Fractions 766/18,443/21,813/19 is 275881794

Greatest Common Factor of 18,21,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,21,19 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 21

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

1,3,7,21

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Greatest Common Factor

We found the factors 18,21,19 . The biggest common factor number is the GCF number.
So the greatest common factor 18,21,19 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 766/18, 443/21, 813/19

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 766/18, 443/21, 813/19?

Answer: LCM of Numerators as per given numbers 766/18, 443/21, 813/19 is

LCM of Numerators i.e. for 766,443,813 is 275881794

GCF of denominators i.e. for 18,21,19 is 1.

Thus, LCM of Fractions is 275881794.Finally, LCM of Fractions for 766/18, 443/21, 813/19 is 275881794.