Least Common Multiple of 15/978, 9969/2299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/978, 9969/2299 quickly i.e. 49845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/978, 9969/2299 is 49845.

LCM(15/978, 9969/2299) = 49845

LCM of 15/978, 9969/2299

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 15/978,9969/2299

Given numbers are 15/978,9969/2299

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 15,9969

Least Common Multiple of Numerators i.e. LCM of 15,9969 is 49845.

GCF of Denominators means GCF of 978,2299 as per the given fractions.

GCF of 978,2299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,9969

LCM of Fractions 15/978,9969/2299 is 49845

3 15, 9969
5, 3323

∴ So the LCM of the given numbers is 3 x 5 x 3323 = 49845

Least Common Multiple of 15,9969 with GCF Formula

Least Common Multiple of 15,9969 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 15,9969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,9969) = 3

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

GCF(15,9969) x common factors =3 x 1 = 3

LCM(15,9969) = ( 15 × 9969 ) / 3

LCM(15,9969) = 149535 / 3

LCM(15,9969) = 49845


Lets's calculate GCF of 978,2299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49845/1

Therefore the LCM of Fractions 15/978,9969/2299 is 49845

Greatest Common Factor of 978,2299 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,2299 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 2299

List of positive integer factors of 2299 that divides 2299 without a remainder.

1,11,19,121,209,2299

Greatest Common Factor

We found the factors 978,2299 . The biggest common factor number is the GCF number.
So the greatest common factor 978,2299 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 15/978, 9969/2299

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 15/978, 9969/2299?

Answer: LCM of Numerators as per given numbers 15/978, 9969/2299 is

LCM of Numerators i.e. for 15,9969 is 49845

GCF of denominators i.e. for 978,2299 is 1.

Thus, LCM of Fractions is 49845.Finally, LCM of Fractions for 15/978, 9969/2299 is 49845.