Least Common Multiple of 17/990, 6888/4761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/990, 6888/4761 quickly i.e. 117096/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/990, 6888/4761 is 117096/9.

LCM(17/990, 6888/4761) = 117096/9

LCM of 17/990, 6888/4761

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 17/990,6888/4761

Given numbers are 17/990,6888/4761

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 17,6888

Least Common Multiple of Numerators i.e. LCM of 17,6888 is 117096.

GCF of Denominators means GCF of 990,4761 as per the given fractions.

GCF of 990,4761 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,6888

LCM of Fractions 17/990,6888/4761 is 117096/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 117096

Least Common Multiple of 17,6888 with GCF Formula

Least Common Multiple of 17,6888 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 17,6888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,6888) = 1

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

GCF(17,6888) x common factors =1 x 1 = 1

LCM(17,6888) = ( 17 × 6888 ) / 1

LCM(17,6888) = 117096 / 1

LCM(17,6888) = 117096


Lets's calculate GCF of 990,4761

3 990, 4761
3 330, 1587
110, 529

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117096/9

Therefore the LCM of Fractions 17/990,6888/4761 is 117096/9

Greatest Common Factor of 990,4761 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,4761 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 4761

List of positive integer factors of 4761 that divides 4761 without a remainder.

1,3,9,23,69,207,529,1587,4761

Greatest Common Factor

We found the factors 990,4761 . The biggest common factor number is the GCF number.
So the greatest common factor 990,4761 is 9.


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 17/990, 6888/4761

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 17/990, 6888/4761?

Answer: LCM of Numerators as per given numbers 17/990, 6888/4761 is

LCM of Numerators i.e. for 17,6888 is 117096

GCF of denominators i.e. for 990,4761 is 9.

Thus, LCM of Fractions is 117096/9.Finally, LCM of Fractions for 17/990, 6888/4761 is 117096/9.