Least Common Multiple of 666/66, 317/7166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 666/66, 317/7166 quickly i.e. 105561 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 666/66, 317/7166 is 105561.

LCM(666/66, 317/7166) = 105561

LCM of 666/66, 317/7166

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 666/66,317/7166

Given numbers are 666/66,317/7166

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 666,317

Least Common Multiple of Numerators i.e. LCM of 666,317 is 211122.

GCF of Denominators means GCF of 66,7166 as per the given fractions.

GCF of 66,7166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 666,317

LCM of Fractions 666/66,317/7166 is 105561

Given numbers has no common factors except 1. So, there LCM is their product i.e 211122

Least Common Multiple of 666,317 with GCF Formula

Least Common Multiple of 666,317 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 666,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,317) = 1

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

GCF(666,317) x common factors =1 x 1 = 1

LCM(666,317) = ( 666 × 317 ) / 1

LCM(666,317) = 211122 / 1

LCM(666,317) = 211122


Lets's calculate GCF of 66,7166

2 66, 7166
33, 3583

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211122/2

Therefore the LCM of Fractions 666/66,317/7166 is 105561

Greatest Common Factor of 66,7166 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,7166 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 7166

List of positive integer factors of 7166 that divides 7166 without a remainder.

1,2,3583,7166

Greatest Common Factor

We found the factors 66,7166 . The biggest common factor number is the GCF number.
So the greatest common factor 66,7166 is 2.


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 666/66, 317/7166

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 666/66, 317/7166?

Answer: LCM of Numerators as per given numbers 666/66, 317/7166 is

LCM of Numerators i.e. for 666,317 is 211122

GCF of denominators i.e. for 66,7166 is 2.

Thus, LCM of Fractions is 105561.Finally, LCM of Fractions for 666/66, 317/7166 is 105561.