Least Common Multiple of 1998/15, 9116/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1998/15, 9116/683 quickly i.e. 9106884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1998/15, 9116/683 is 9106884.

LCM(1998/15, 9116/683) = 9106884

LCM of 1998/15, 9116/683

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 1998/15,9116/683

Given numbers are 1998/15,9116/683

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 1998,9116

Least Common Multiple of Numerators i.e. LCM of 1998,9116 is 9106884.

GCF of Denominators means GCF of 15,683 as per the given fractions.

GCF of 15,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1998,9116

LCM of Fractions 1998/15,9116/683 is 9106884

2 1998, 9116
999, 4558

∴ So the LCM of the given numbers is 2 x 999 x 4558 = 9106884

Least Common Multiple of 1998,9116 with GCF Formula

Least Common Multiple of 1998,9116 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 1998,9116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1998,9116) = 2

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

GCF(1998,9116) x common factors =2 x 1 = 2

LCM(1998,9116) = ( 1998 × 9116 ) / 2

LCM(1998,9116) = 18213768 / 2

LCM(1998,9116) = 9106884


Lets's calculate GCF of 15,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9106884/1

Therefore the LCM of Fractions 1998/15,9116/683 is 9106884

Greatest Common Factor of 15,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,683 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 15,683 . The biggest common factor number is the GCF number.
So the greatest common factor 15,683 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 1998/15, 9116/683

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 1998/15, 9116/683?

Answer: LCM of Numerators as per given numbers 1998/15, 9116/683 is

LCM of Numerators i.e. for 1998,9116 is 9106884

GCF of denominators i.e. for 15,683 is 1.

Thus, LCM of Fractions is 9106884.Finally, LCM of Fractions for 1998/15, 9116/683 is 9106884.