Least Common Multiple of 194/108, 238/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 194/108, 238/166 quickly i.e. 11543 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 194/108, 238/166 is 11543.

LCM(194/108, 238/166) = 11543

LCM of 194/108, 238/166

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 194/108,238/166

Given numbers are 194/108,238/166

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 194,238

Least Common Multiple of Numerators i.e. LCM of 194,238 is 23086.

GCF of Denominators means GCF of 108,166 as per the given fractions.

GCF of 108,166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 194,238

LCM of Fractions 194/108,238/166 is 11543

2 194, 238
97, 119

∴ So the LCM of the given numbers is 2 x 97 x 119 = 23086

Least Common Multiple of 194,238 with GCF Formula

Least Common Multiple of 194,238 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 194,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,238) = 2

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

GCF(194,238) x common factors =2 x 1 = 2

LCM(194,238) = ( 194 × 238 ) / 2

LCM(194,238) = 46172 / 2

LCM(194,238) = 23086


Lets's calculate GCF of 108,166

2 108, 166
54, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23086/2

Therefore the LCM of Fractions 194/108,238/166 is 11543

Greatest Common Factor of 108,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,166 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 108,166 . The biggest common factor number is the GCF number.
So the greatest common factor 108,166 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 194/108, 238/166

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 194/108, 238/166?

Answer: LCM of Numerators as per given numbers 194/108, 238/166 is

LCM of Numerators i.e. for 194,238 is 23086

GCF of denominators i.e. for 108,166 is 2.

Thus, LCM of Fractions is 11543.Finally, LCM of Fractions for 194/108, 238/166 is 11543.