Least Common Multiple of 571/96, 144/6198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 571/96, 144/6198 quickly i.e. 13704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 571/96, 144/6198 is 13704.

LCM(571/96, 144/6198) = 13704

LCM of 571/96, 144/6198

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 571/96,144/6198

Given numbers are 571/96,144/6198

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 571,144

Least Common Multiple of Numerators i.e. LCM of 571,144 is 82224.

GCF of Denominators means GCF of 96,6198 as per the given fractions.

GCF of 96,6198 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 571,144

LCM of Fractions 571/96,144/6198 is 13704

Given numbers has no common factors except 1. So, there LCM is their product i.e 82224

Least Common Multiple of 571,144 with GCF Formula

Least Common Multiple of 571,144 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 571,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,144) = 1

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

GCF(571,144) x common factors =1 x 1 = 1

LCM(571,144) = ( 571 × 144 ) / 1

LCM(571,144) = 82224 / 1

LCM(571,144) = 82224


Lets's calculate GCF of 96,6198

2 96, 6198
3 48, 3099
16, 1033

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82224/6

Therefore the LCM of Fractions 571/96,144/6198 is 13704

Greatest Common Factor of 96,6198 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,6198 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 6198

List of positive integer factors of 6198 that divides 6198 without a remainder.

1,2,3,6,1033,2066,3099,6198

Greatest Common Factor

We found the factors 96,6198 . The biggest common factor number is the GCF number.
So the greatest common factor 96,6198 is 6.


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 571/96, 144/6198

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 571/96, 144/6198?

Answer: LCM of Numerators as per given numbers 571/96, 144/6198 is

LCM of Numerators i.e. for 571,144 is 82224

GCF of denominators i.e. for 96,6198 is 6.

Thus, LCM of Fractions is 13704.Finally, LCM of Fractions for 571/96, 144/6198 is 13704.