Least Common Multiple of 998/13, 117/2003

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/13, 117/2003 quickly i.e. 116766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/13, 117/2003 is 116766.

LCM(998/13, 117/2003) = 116766

LCM of 998/13, 117/2003

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 998/13,117/2003

Given numbers are 998/13,117/2003

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 998,117

Least Common Multiple of Numerators i.e. LCM of 998,117 is 116766.

GCF of Denominators means GCF of 13,2003 as per the given fractions.

GCF of 13,2003 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,117

LCM of Fractions 998/13,117/2003 is 116766

Given numbers has no common factors except 1. So, there LCM is their product i.e 116766

Least Common Multiple of 998,117 with GCF Formula

Least Common Multiple of 998,117 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 998,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,117) = 1

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

GCF(998,117) x common factors =1 x 1 = 1

LCM(998,117) = ( 998 × 117 ) / 1

LCM(998,117) = 116766 / 1

LCM(998,117) = 116766


Lets's calculate GCF of 13,2003

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116766/1

Therefore the LCM of Fractions 998/13,117/2003 is 116766

Greatest Common Factor of 13,2003 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,2003 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 2003

List of positive integer factors of 2003 that divides 2003 without a remainder.

1,2003

Greatest Common Factor

We found the factors 13,2003 . The biggest common factor number is the GCF number.
So the greatest common factor 13,2003 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 998/13, 117/2003

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 998/13, 117/2003?

Answer: LCM of Numerators as per given numbers 998/13, 117/2003 is

LCM of Numerators i.e. for 998,117 is 116766

GCF of denominators i.e. for 13,2003 is 1.

Thus, LCM of Fractions is 116766.Finally, LCM of Fractions for 998/13, 117/2003 is 116766.