Least Common Multiple of 102/22, 939/8094

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 102/22, 939/8094 quickly i.e. 15963 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/22, 939/8094 is 15963.

LCM(102/22, 939/8094) = 15963

LCM of 102/22, 939/8094

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 102/22,939/8094

Given numbers are 102/22,939/8094

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 102,939

Least Common Multiple of Numerators i.e. LCM of 102,939 is 31926.

GCF of Denominators means GCF of 22,8094 as per the given fractions.

GCF of 22,8094 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,939

LCM of Fractions 102/22,939/8094 is 15963

3 102, 939
34, 313

∴ So the LCM of the given numbers is 3 x 34 x 313 = 31926

Least Common Multiple of 102,939 with GCF Formula

Least Common Multiple of 102,939 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 102,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,939) = 3

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

GCF(102,939) x common factors =3 x 1 = 3

LCM(102,939) = ( 102 × 939 ) / 3

LCM(102,939) = 95778 / 3

LCM(102,939) = 31926


Lets's calculate GCF of 22,8094

2 22, 8094
11, 4047

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31926/2

Therefore the LCM of Fractions 102/22,939/8094 is 15963

Greatest Common Factor of 22,8094 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,8094 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 8094

List of positive integer factors of 8094 that divides 8094 without a remainder.

1,2,3,6,19,38,57,71,114,142,213,426,1349,2698,4047,8094

Greatest Common Factor

We found the factors 22,8094 . The biggest common factor number is the GCF number.
So the greatest common factor 22,8094 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 102/22, 939/8094

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 102/22, 939/8094?

Answer: LCM of Numerators as per given numbers 102/22, 939/8094 is

LCM of Numerators i.e. for 102,939 is 31926

GCF of denominators i.e. for 22,8094 is 2.

Thus, LCM of Fractions is 15963.Finally, LCM of Fractions for 102/22, 939/8094 is 15963.