Least Common Multiple of 95/80, 194/17, 171/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/80, 194/17, 171/983 quickly i.e. 165870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/80, 194/17, 171/983 is 165870.

LCM(95/80, 194/17, 171/983) = 165870

LCM of 95/80, 194/17, 171/983

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 95/80,194/17,171/983

Given numbers are 95/80,194/17,171/983

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 95,194,171

Least Common Multiple of Numerators i.e. LCM of 95,194,171 is 165870.

GCF of Denominators means GCF of 80,17,983 as per the given fractions.

GCF of 80,17,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,194,171

LCM of Fractions 95/80,194/17,171/983 is 165870

19 95, 194, 171
5, 194, 9

∴ So the LCM of the given numbers is 19 x 5 x 194 x 9 = 165870

Least Common Multiple of 95,194,171 with GCF Formula

Least Common Multiple of 95,194,171 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 95,194,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,194,171) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(95,194,171) x common factors =1 x 19 = 19

LCM(95,194,171) = ( 95 × 194 × 171 ) / 19

LCM(95,194,171) = 3151530 / 19

LCM(95,194,171) = 165870


Lets's calculate GCF of 80,17,983

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165870/1

Therefore the LCM of Fractions 95/80,194/17,171/983 is 165870

Greatest Common Factor of 80,17,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,17,983 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 80,17,983 . The biggest common factor number is the GCF number.
So the greatest common factor 80,17,983 is 1.


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 95/80, 194/17, 171/983

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 95/80, 194/17, 171/983?

Answer: LCM of Numerators as per given numbers 95/80, 194/17, 171/983 is

LCM of Numerators i.e. for 95,194,171 is 165870

GCF of denominators i.e. for 80,17,983 is 1.

Thus, LCM of Fractions is 165870.Finally, LCM of Fractions for 95/80, 194/17, 171/983 is 165870.