Least Common Multiple of 8947/18, 6176/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8947/18, 6176/368 quickly i.e. 27628336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8947/18, 6176/368 is 27628336.

LCM(8947/18, 6176/368) = 27628336

LCM of 8947/18, 6176/368

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 8947/18,6176/368

Given numbers are 8947/18,6176/368

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 8947,6176

Least Common Multiple of Numerators i.e. LCM of 8947,6176 is 55256672.

GCF of Denominators means GCF of 18,368 as per the given fractions.

GCF of 18,368 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8947,6176

LCM of Fractions 8947/18,6176/368 is 27628336

Given numbers has no common factors except 1. So, there LCM is their product i.e 55256672

Least Common Multiple of 8947,6176 with GCF Formula

Least Common Multiple of 8947,6176 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 8947,6176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8947,6176) = 1

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

GCF(8947,6176) x common factors =1 x 1 = 1

LCM(8947,6176) = ( 8947 × 6176 ) / 1

LCM(8947,6176) = 55256672 / 1

LCM(8947,6176) = 55256672


Lets's calculate GCF of 18,368

2 18, 368
9, 184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55256672/2

Therefore the LCM of Fractions 8947/18,6176/368 is 27628336

Greatest Common Factor of 18,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,368 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 18,368 . The biggest common factor number is the GCF number.
So the greatest common factor 18,368 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8947/18, 6176/368

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 8947/18, 6176/368?

Answer: LCM of Numerators as per given numbers 8947/18, 6176/368 is

LCM of Numerators i.e. for 8947,6176 is 55256672

GCF of denominators i.e. for 18,368 is 2.

Thus, LCM of Fractions is 27628336.Finally, LCM of Fractions for 8947/18, 6176/368 is 27628336.