Least Common Multiple of 31/198, 17/279, 305/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/198, 17/279, 305/716 quickly i.e. 160735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/198, 17/279, 305/716 is 160735.

LCM(31/198, 17/279, 305/716) = 160735

LCM of 31/198, 17/279, 305/716

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 31/198,17/279,305/716

Given numbers are 31/198,17/279,305/716

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 31,17,305

Least Common Multiple of Numerators i.e. LCM of 31,17,305 is 160735.

GCF of Denominators means GCF of 198,279,716 as per the given fractions.

GCF of 198,279,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,17,305

LCM of Fractions 31/198,17/279,305/716 is 160735

Given numbers has no common factors except 1. So, there LCM is their product i.e 160735

Least Common Multiple of 31,17,305 with GCF Formula

Least Common Multiple of 31,17,305 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 31,17,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,17,305) = 1

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

GCF(31,17,305) x common factors =1 x 1 = 1

LCM(31,17,305) = ( 31 × 17 × 305 ) / 1

LCM(31,17,305) = 160735 / 1

LCM(31,17,305) = 160735


Lets's calculate GCF of 198,279,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160735/1

Therefore the LCM of Fractions 31/198,17/279,305/716 is 160735

Greatest Common Factor of 198,279,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,279,716 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 198,279,716 . The biggest common factor number is the GCF number.
So the greatest common factor 198,279,716 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 31/198, 17/279, 305/716

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 31/198, 17/279, 305/716?

Answer: LCM of Numerators as per given numbers 31/198, 17/279, 305/716 is

LCM of Numerators i.e. for 31,17,305 is 160735

GCF of denominators i.e. for 198,279,716 is 1.

Thus, LCM of Fractions is 160735.Finally, LCM of Fractions for 31/198, 17/279, 305/716 is 160735.