Least Common Multiple of 7/82, 39/194, 41/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7/82, 39/194, 41/667 quickly i.e. 11193 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/82, 39/194, 41/667 is 11193.

LCM(7/82, 39/194, 41/667) = 11193

LCM of 7/82, 39/194, 41/667

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 7/82,39/194,41/667

Given numbers are 7/82,39/194,41/667

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 7,39,41

Least Common Multiple of Numerators i.e. LCM of 7,39,41 is 11193.

GCF of Denominators means GCF of 82,194,667 as per the given fractions.

GCF of 82,194,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,39,41

LCM of Fractions 7/82,39/194,41/667 is 11193

Given numbers has no common factors except 1. So, there LCM is their product i.e 11193

Least Common Multiple of 7,39,41 with GCF Formula

Least Common Multiple of 7,39,41 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 7,39,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,39,41) = 1

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

GCF(7,39,41) x common factors =1 x 1 = 1

LCM(7,39,41) = ( 7 × 39 × 41 ) / 1

LCM(7,39,41) = 11193 / 1

LCM(7,39,41) = 11193


Lets's calculate GCF of 82,194,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11193/1

Therefore the LCM of Fractions 7/82,39/194,41/667 is 11193

Greatest Common Factor of 82,194,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,194,667 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 82,194,667 . The biggest common factor number is the GCF number.
So the greatest common factor 82,194,667 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 7/82, 39/194, 41/667

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 7/82, 39/194, 41/667?

Answer: LCM of Numerators as per given numbers 7/82, 39/194, 41/667 is

LCM of Numerators i.e. for 7,39,41 is 11193

GCF of denominators i.e. for 82,194,667 is 1.

Thus, LCM of Fractions is 11193.Finally, LCM of Fractions for 7/82, 39/194, 41/667 is 11193.