Least Common Multiple of 66/819, 71/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/819, 71/294 quickly i.e. 4686/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/819, 71/294 is 4686/21.

LCM(66/819, 71/294) = 4686/21

LCM of 66/819, 71/294

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 66/819,71/294

Given numbers are 66/819,71/294

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 66,71

Least Common Multiple of Numerators i.e. LCM of 66,71 is 4686.

GCF of Denominators means GCF of 819,294 as per the given fractions.

GCF of 819,294 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,71

LCM of Fractions 66/819,71/294 is 4686/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 4686

Least Common Multiple of 66,71 with GCF Formula

Least Common Multiple of 66,71 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 66,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,71) = 1

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

GCF(66,71) x common factors =1 x 1 = 1

LCM(66,71) = ( 66 × 71 ) / 1

LCM(66,71) = 4686 / 1

LCM(66,71) = 4686


Lets's calculate GCF of 819,294

3 819, 294
7 273, 98
39, 14

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4686/21

Therefore the LCM of Fractions 66/819,71/294 is 4686/21

Greatest Common Factor of 819,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,294 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 819,294 . The biggest common factor number is the GCF number.
So the greatest common factor 819,294 is 21.


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 66/819, 71/294

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 66/819, 71/294?

Answer: LCM of Numerators as per given numbers 66/819, 71/294 is

LCM of Numerators i.e. for 66,71 is 4686

GCF of denominators i.e. for 819,294 is 21.

Thus, LCM of Fractions is 4686/21.Finally, LCM of Fractions for 66/819, 71/294 is 4686/21.