Least Common Multiple of 711/66, 117/8203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/66, 117/8203 quickly i.e. 9243 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/66, 117/8203 is 9243.

LCM(711/66, 117/8203) = 9243

LCM of 711/66, 117/8203

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 711/66,117/8203

Given numbers are 711/66,117/8203

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 711,117

Least Common Multiple of Numerators i.e. LCM of 711,117 is 9243.

GCF of Denominators means GCF of 66,8203 as per the given fractions.

GCF of 66,8203 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,117

LCM of Fractions 711/66,117/8203 is 9243

3 711, 117
3 237, 39
79, 13

∴ So the LCM of the given numbers is 3 x 3 x 79 x 13 = 9243

Least Common Multiple of 711,117 with GCF Formula

Least Common Multiple of 711,117 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 711,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,117) = 9

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

GCF(711,117) x common factors =9 x 1 = 9

LCM(711,117) = ( 711 × 117 ) / 9

LCM(711,117) = 83187 / 9

LCM(711,117) = 9243


Lets's calculate GCF of 66,8203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9243/1

Therefore the LCM of Fractions 711/66,117/8203 is 9243

Greatest Common Factor of 66,8203 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,8203 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 8203

List of positive integer factors of 8203 that divides 8203 without a remainder.

1,13,631,8203

Greatest Common Factor

We found the factors 66,8203 . The biggest common factor number is the GCF number.
So the greatest common factor 66,8203 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 711/66, 117/8203

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 711/66, 117/8203?

Answer: LCM of Numerators as per given numbers 711/66, 117/8203 is

LCM of Numerators i.e. for 711,117 is 9243

GCF of denominators i.e. for 66,8203 is 1.

Thus, LCM of Fractions is 9243.Finally, LCM of Fractions for 711/66, 117/8203 is 9243.