Least Common Multiple of 319/86, 171/5375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/86, 171/5375 quickly i.e. 54549/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/86, 171/5375 is 54549/43.

LCM(319/86, 171/5375) = 54549/43

LCM of 319/86, 171/5375

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 319/86,171/5375

Given numbers are 319/86,171/5375

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 319,171

Least Common Multiple of Numerators i.e. LCM of 319,171 is 54549.

GCF of Denominators means GCF of 86,5375 as per the given fractions.

GCF of 86,5375 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,171

LCM of Fractions 319/86,171/5375 is 54549/43

Given numbers has no common factors except 1. So, there LCM is their product i.e 54549

Least Common Multiple of 319,171 with GCF Formula

Least Common Multiple of 319,171 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 319,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,171) = 1

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

GCF(319,171) x common factors =1 x 1 = 1

LCM(319,171) = ( 319 × 171 ) / 1

LCM(319,171) = 54549 / 1

LCM(319,171) = 54549


Lets's calculate GCF of 86,5375

43 86, 5375
2, 125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54549/43

Therefore the LCM of Fractions 319/86,171/5375 is 54549/43

Greatest Common Factor of 86,5375 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,5375 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 5375

List of positive integer factors of 5375 that divides 5375 without a remainder.

1,5,25,43,125,215,1075,5375

Greatest Common Factor

We found the factors 86,5375 . The biggest common factor number is the GCF number.
So the greatest common factor 86,5375 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 319/86, 171/5375

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 319/86, 171/5375?

Answer: LCM of Numerators as per given numbers 319/86, 171/5375 is

LCM of Numerators i.e. for 319,171 is 54549

GCF of denominators i.e. for 86,5375 is 43.

Thus, LCM of Fractions is 54549/43.Finally, LCM of Fractions for 319/86, 171/5375 is 54549/43.