Least Common Multiple of 17/198, 67/289, 874/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/198, 67/289, 874/160 quickly i.e. 995486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/198, 67/289, 874/160 is 995486.

LCM(17/198, 67/289, 874/160) = 995486

LCM of 17/198, 67/289, 874/160

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 17/198,67/289,874/160

Given numbers are 17/198,67/289,874/160

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 17,67,874

Least Common Multiple of Numerators i.e. LCM of 17,67,874 is 995486.

GCF of Denominators means GCF of 198,289,160 as per the given fractions.

GCF of 198,289,160 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,67,874

LCM of Fractions 17/198,67/289,874/160 is 995486

Given numbers has no common factors except 1. So, there LCM is their product i.e 995486

Least Common Multiple of 17,67,874 with GCF Formula

Least Common Multiple of 17,67,874 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 17,67,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,67,874) = 1

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

GCF(17,67,874) x common factors =1 x 1 = 1

LCM(17,67,874) = ( 17 × 67 × 874 ) / 1

LCM(17,67,874) = 995486 / 1

LCM(17,67,874) = 995486


Lets's calculate GCF of 198,289,160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 995486/1

Therefore the LCM of Fractions 17/198,67/289,874/160 is 995486

Greatest Common Factor of 198,289,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,289,160 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 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 198,289,160 . The biggest common factor number is the GCF number.
So the greatest common factor 198,289,160 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 17/198, 67/289, 874/160

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 17/198, 67/289, 874/160?

Answer: LCM of Numerators as per given numbers 17/198, 67/289, 874/160 is

LCM of Numerators i.e. for 17,67,874 is 995486

GCF of denominators i.e. for 198,289,160 is 1.

Thus, LCM of Fractions is 995486.Finally, LCM of Fractions for 17/198, 67/289, 874/160 is 995486.