Least Common Multiple of 208/172, 3174/4085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/172, 3174/4085 quickly i.e. 330096/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/172, 3174/4085 is 330096/43.

LCM(208/172, 3174/4085) = 330096/43

LCM of 208/172, 3174/4085

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 208/172,3174/4085

Given numbers are 208/172,3174/4085

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 208,3174

Least Common Multiple of Numerators i.e. LCM of 208,3174 is 330096.

GCF of Denominators means GCF of 172,4085 as per the given fractions.

GCF of 172,4085 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,3174

LCM of Fractions 208/172,3174/4085 is 330096/43

2 208, 3174
104, 1587

∴ So the LCM of the given numbers is 2 x 104 x 1587 = 330096

Least Common Multiple of 208,3174 with GCF Formula

Least Common Multiple of 208,3174 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 208,3174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,3174) = 2

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

GCF(208,3174) x common factors =2 x 1 = 2

LCM(208,3174) = ( 208 × 3174 ) / 2

LCM(208,3174) = 660192 / 2

LCM(208,3174) = 330096


Lets's calculate GCF of 172,4085

43 172, 4085
4, 95

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330096/43

Therefore the LCM of Fractions 208/172,3174/4085 is 330096/43

Greatest Common Factor of 172,4085 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,4085 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 4085

List of positive integer factors of 4085 that divides 4085 without a remainder.

1,5,19,43,95,215,817,4085

Greatest Common Factor

We found the factors 172,4085 . The biggest common factor number is the GCF number.
So the greatest common factor 172,4085 is 43.


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 208/172, 3174/4085

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 208/172, 3174/4085?

Answer: LCM of Numerators as per given numbers 208/172, 3174/4085 is

LCM of Numerators i.e. for 208,3174 is 330096

GCF of denominators i.e. for 172,4085 is 43.

Thus, LCM of Fractions is 330096/43.Finally, LCM of Fractions for 208/172, 3174/4085 is 330096/43.