Least Common Multiple of 78/394, 298/38, 171/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/394, 298/38, 171/258 quickly i.e. 331227 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/394, 298/38, 171/258 is 331227.

LCM(78/394, 298/38, 171/258) = 331227

LCM of 78/394, 298/38, 171/258

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 78/394,298/38,171/258

Given numbers are 78/394,298/38,171/258

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 78,298,171

Least Common Multiple of Numerators i.e. LCM of 78,298,171 is 662454.

GCF of Denominators means GCF of 394,38,258 as per the given fractions.

GCF of 394,38,258 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,298,171

LCM of Fractions 78/394,298/38,171/258 is 331227

2 78, 298, 171
3 39, 149, 171
13, 149, 57

∴ So the LCM of the given numbers is 2 x 3 x 13 x 149 x 57 = 662454

Least Common Multiple of 78,298,171 with GCF Formula

Least Common Multiple of 78,298,171 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 78,298,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,298,171) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,298,171) x common factors =1 x 6 = 6

LCM(78,298,171) = ( 78 × 298 × 171 ) / 6

LCM(78,298,171) = 3974724 / 6

LCM(78,298,171) = 662454


Lets's calculate GCF of 394,38,258

2 394, 38, 258
197, 19, 129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 662454/2

Therefore the LCM of Fractions 78/394,298/38,171/258 is 331227

Greatest Common Factor of 394,38,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,38,258 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 394,38,258 . The biggest common factor number is the GCF number.
So the greatest common factor 394,38,258 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 78/394, 298/38, 171/258

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 78/394, 298/38, 171/258?

Answer: LCM of Numerators as per given numbers 78/394, 298/38, 171/258 is

LCM of Numerators i.e. for 78,298,171 is 662454

GCF of denominators i.e. for 394,38,258 is 2.

Thus, LCM of Fractions is 331227.Finally, LCM of Fractions for 78/394, 298/38, 171/258 is 331227.