Least Common Multiple of 8328/627, 7166/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8328/627, 7166/291 quickly i.e. 9946408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8328/627, 7166/291 is 9946408.

LCM(8328/627, 7166/291) = 9946408

LCM of 8328/627, 7166/291

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 8328/627,7166/291

Given numbers are 8328/627,7166/291

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 8328,7166

Least Common Multiple of Numerators i.e. LCM of 8328,7166 is 29839224.

GCF of Denominators means GCF of 627,291 as per the given fractions.

GCF of 627,291 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8328,7166

LCM of Fractions 8328/627,7166/291 is 9946408

2 8328, 7166
4164, 3583

∴ So the LCM of the given numbers is 2 x 4164 x 3583 = 29839224

Least Common Multiple of 8328,7166 with GCF Formula

Least Common Multiple of 8328,7166 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 8328,7166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8328,7166) = 2

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

GCF(8328,7166) x common factors =2 x 1 = 2

LCM(8328,7166) = ( 8328 × 7166 ) / 2

LCM(8328,7166) = 59678448 / 2

LCM(8328,7166) = 29839224


Lets's calculate GCF of 627,291

3 627, 291
209, 97

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29839224/3

Therefore the LCM of Fractions 8328/627,7166/291 is 9946408

Greatest Common Factor of 627,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,291 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 627,291 . The biggest common factor number is the GCF number.
So the greatest common factor 627,291 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8328/627, 7166/291

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 8328/627, 7166/291?

Answer: LCM of Numerators as per given numbers 8328/627, 7166/291 is

LCM of Numerators i.e. for 8328,7166 is 29839224

GCF of denominators i.e. for 627,291 is 3.

Thus, LCM of Fractions is 9946408.Finally, LCM of Fractions for 8328/627, 7166/291 is 9946408.